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The Resource Nonlinear analysis : stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday, Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, editors

Nonlinear analysis : stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday, Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, editors

Contributor
Summary
Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work
Language
eng
Work
Publication
Extent
1 online resource.
Contents
  • Rationality of the Moduli Space of Stable Pairs over a Complex Curve
  • Indranil Biswas, Marina Logares and Vicente Muñoz
  • Generalized p-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings
  • Daniel Breaz, Yasar Polatoğlu and Nicoleta Breaz
  • Remarks on Stability of the Linear Functional Equation in Single Variable
  • Janusz Brzdek̜, Dorian Popa and Bing Xu
  • On a Curious q-Hypergeometric Identity
  • María José Cantero and Arieh Iserles
  • Jensen and Quadratic Functional Equations on Semigroups
  • Esteban A. Chávez and Prasanna K. Sahoo
  • Bounds of Jensen's Type Inequality and Eigenvalues of Sturm-Liouville System
  • On Bohr's Inequalities
  • Wing-Sum Cheung, Gangsong Leng, Josip Pečarić and Dandan Zhao
  • Orlicz Norm Inequalities for Conjugate Harmonic Forms
  • Shusen Ding and Yuming Xing
  • Shoshana Abramovich
  • Quadratic Operators and Quadratic Functional Equation
  • M. Adam and S. Czerwik
  • On the Regions Containing All the Zeros of a Polynomial
  • Chadia Affane-Aji and N.K. Govil
  • Some Remarks on the Group of Isometries of a Metric Space
  • Dorin Andrica and Vasile Bulgarean
  • Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings
  • P. Găvruţa and L. Găvruţa
  • Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras
  • Madjid Eshaghi Gordji, N. Ghobadipour, A. Ebadian, M. Bavand Savadkouhi and Choonkil Park
  • Approximately Cubic n-Derivations on Non-archimedean Banach Algebras
  • F. Habibian, R. Bolghanabadi and M. Eshaghi Gordji
  • Fuzzy Stability of a Quadratic-Additive Type Functional Equation
  • Sun-Sook Jin and Yang-Hi Lee
  • Generalized Hyers-Ulam Stability of Cauchy-Jensen Functional Equations
  • Kil-Woung Jun, Hark-Mahn Kim and Eun Young Son
  • A Survey on Jessen's Type Inequalities for Positive Functionals
  • Fixed Point Approach to the Stability of the Gamma Functional Equation
  • Soon-Mo Jung
  • S.S. Dragomir
  • On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-Ternary Algebras and Quasi-Banach Algebras
  • Ali Ebadian and Norouz Ghobadipour
  • Fixed Point Approach to the Stability of the Quadratic Functional Equation
  • Elqorachi Elhoucien and Manar Youssef
  • Bohr's Inequality Revisited
  • Masatoshi Fujii, Mohammad Sal Moslehian and Jadranka Mićić
  • Multiple Orthogonality and Applications in Numerical Integration
  • Gradimir V. Milovanović and Marija P. Stanić
  • Approximate C*-Algebra Homomorphisms Associated to an Apollonius-Jensen Type Additive Mapping; A Fixed Point Approach
  • Fridoun Moradlou and G. Zamani Eskandani
  • The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions
  • Dumitru Motreanu and Patrick Winkert
  • Korovkin Type Approximation Theorem for Almost and Statistical Convergence
  • M. Mursaleen and S.A. Mohiuddine
  • On the Stability of an Additive Mapping
  • Abbas Najati
  • Random Stability of an AQCQ Functional Equation: A Fixed Point Approach
  • Existence Results for Extended General Nonconvex Quasi-variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Hassan Azadi Kenary
  • Basis Sets in Banach Spaces
  • S.V. Konyagin and Y.V. Malykhin
  • Inequalities for Trigonometric Sums
  • Stamatis Koumandos
  • On Vandiver's Best Result on FLT1
  • Preda Mihăilescu
  • Stability of Affine Approximations on Bounded Domains
  • V.Y. Protasov
  • Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions
  • H.M. Srivastava
  • The Hyers-Ulam and Hahn-Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations
  • Árpád Száz
  • Spectral Analysis and Spectral Synthesis
  • László Székelyhidi
  • Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky
  • Abraham Albert Ungar
  • On the Asymptotic Behavior of Solutions to General Linear Functional Equations
  • Hilbert-Type Integral Operators: Norms and Inequalities
  • Bicheng Yang
  • On the Stability of the Pexiderized Sine Functional Equation
  • Xiaopeng Zhao and Xiuzhong Yang
  • Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces
  • Zhihua Wang
  • B. Paneah
  • On the Stability of an Additive and Quadratic Functional Equation
  • Choonkil Park
  • Classification and Stability of Functional Equations
  • Choonkil Park, Madjid Eshaghi Gordji and Reza Saadati
  • Exotic n-D'Alembert PDEs and Stability
  • Agostino Prástaro
Isbn
9781461434986
Instance
Label
Nonlinear analysis : stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday
Title
Nonlinear analysis
Title remainder
stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday
Statement of responsibility
Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, editors
Contributor
Subject
Language
eng
Summary
Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work
Member of
Cataloging source
GW5XE
Dewey number
515/.7248
Index
no index present
LC call number
QA427
LC item number
.N66 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1954-
http://library.link/vocab/relatedWorkOrContributorName
  • Pardalos, P. M.
  • Georgiev, Pando G
  • Srivastava, H. M
Series statement
Springer optimization and its applications,
Series volume
v. 68
http://library.link/vocab/subjectName
  • Nonlinear theories
  • MATHEMATICS
  • MATHEMATICS
  • Nonlinear theories
Label
Nonlinear analysis : stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday, Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, editors
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Rationality of the Moduli Space of Stable Pairs over a Complex Curve
  • Indranil Biswas, Marina Logares and Vicente Muñoz
  • Generalized p-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings
  • Daniel Breaz, Yasar Polatoğlu and Nicoleta Breaz
  • Remarks on Stability of the Linear Functional Equation in Single Variable
  • Janusz Brzdek̜, Dorian Popa and Bing Xu
  • On a Curious q-Hypergeometric Identity
  • María José Cantero and Arieh Iserles
  • Jensen and Quadratic Functional Equations on Semigroups
  • Esteban A. Chávez and Prasanna K. Sahoo
  • Bounds of Jensen's Type Inequality and Eigenvalues of Sturm-Liouville System
  • On Bohr's Inequalities
  • Wing-Sum Cheung, Gangsong Leng, Josip Pečarić and Dandan Zhao
  • Orlicz Norm Inequalities for Conjugate Harmonic Forms
  • Shusen Ding and Yuming Xing
  • Shoshana Abramovich
  • Quadratic Operators and Quadratic Functional Equation
  • M. Adam and S. Czerwik
  • On the Regions Containing All the Zeros of a Polynomial
  • Chadia Affane-Aji and N.K. Govil
  • Some Remarks on the Group of Isometries of a Metric Space
  • Dorin Andrica and Vasile Bulgarean
  • Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings
  • P. Găvruţa and L. Găvruţa
  • Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras
  • Madjid Eshaghi Gordji, N. Ghobadipour, A. Ebadian, M. Bavand Savadkouhi and Choonkil Park
  • Approximately Cubic n-Derivations on Non-archimedean Banach Algebras
  • F. Habibian, R. Bolghanabadi and M. Eshaghi Gordji
  • Fuzzy Stability of a Quadratic-Additive Type Functional Equation
  • Sun-Sook Jin and Yang-Hi Lee
  • Generalized Hyers-Ulam Stability of Cauchy-Jensen Functional Equations
  • Kil-Woung Jun, Hark-Mahn Kim and Eun Young Son
  • A Survey on Jessen's Type Inequalities for Positive Functionals
  • Fixed Point Approach to the Stability of the Gamma Functional Equation
  • Soon-Mo Jung
  • S.S. Dragomir
  • On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-Ternary Algebras and Quasi-Banach Algebras
  • Ali Ebadian and Norouz Ghobadipour
  • Fixed Point Approach to the Stability of the Quadratic Functional Equation
  • Elqorachi Elhoucien and Manar Youssef
  • Bohr's Inequality Revisited
  • Masatoshi Fujii, Mohammad Sal Moslehian and Jadranka Mićić
  • Multiple Orthogonality and Applications in Numerical Integration
  • Gradimir V. Milovanović and Marija P. Stanić
  • Approximate C*-Algebra Homomorphisms Associated to an Apollonius-Jensen Type Additive Mapping; A Fixed Point Approach
  • Fridoun Moradlou and G. Zamani Eskandani
  • The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions
  • Dumitru Motreanu and Patrick Winkert
  • Korovkin Type Approximation Theorem for Almost and Statistical Convergence
  • M. Mursaleen and S.A. Mohiuddine
  • On the Stability of an Additive Mapping
  • Abbas Najati
  • Random Stability of an AQCQ Functional Equation: A Fixed Point Approach
  • Existence Results for Extended General Nonconvex Quasi-variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Hassan Azadi Kenary
  • Basis Sets in Banach Spaces
  • S.V. Konyagin and Y.V. Malykhin
  • Inequalities for Trigonometric Sums
  • Stamatis Koumandos
  • On Vandiver's Best Result on FLT1
  • Preda Mihăilescu
  • Stability of Affine Approximations on Bounded Domains
  • V.Y. Protasov
  • Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions
  • H.M. Srivastava
  • The Hyers-Ulam and Hahn-Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations
  • Árpád Száz
  • Spectral Analysis and Spectral Synthesis
  • László Székelyhidi
  • Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky
  • Abraham Albert Ungar
  • On the Asymptotic Behavior of Solutions to General Linear Functional Equations
  • Hilbert-Type Integral Operators: Norms and Inequalities
  • Bicheng Yang
  • On the Stability of the Pexiderized Sine Functional Equation
  • Xiaopeng Zhao and Xiuzhong Yang
  • Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces
  • Zhihua Wang
  • B. Paneah
  • On the Stability of an Additive and Quadratic Functional Equation
  • Choonkil Park
  • Classification and Stability of Functional Equations
  • Choonkil Park, Madjid Eshaghi Gordji and Reza Saadati
  • Exotic n-D'Alembert PDEs and Stability
  • Agostino Prástaro
Control code
794982470
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781461434986
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-3498-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794982470
Label
Nonlinear analysis : stability, approximation, and inequalities ; In honor of Themistocles M. Rassias on the occasion of his 60th birthday, Panos M. Pardalos, Pando G. Georgiev, Hari M. Srivastava, editors
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Rationality of the Moduli Space of Stable Pairs over a Complex Curve
  • Indranil Biswas, Marina Logares and Vicente Muñoz
  • Generalized p-Valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings
  • Daniel Breaz, Yasar Polatoğlu and Nicoleta Breaz
  • Remarks on Stability of the Linear Functional Equation in Single Variable
  • Janusz Brzdek̜, Dorian Popa and Bing Xu
  • On a Curious q-Hypergeometric Identity
  • María José Cantero and Arieh Iserles
  • Jensen and Quadratic Functional Equations on Semigroups
  • Esteban A. Chávez and Prasanna K. Sahoo
  • Bounds of Jensen's Type Inequality and Eigenvalues of Sturm-Liouville System
  • On Bohr's Inequalities
  • Wing-Sum Cheung, Gangsong Leng, Josip Pečarić and Dandan Zhao
  • Orlicz Norm Inequalities for Conjugate Harmonic Forms
  • Shusen Ding and Yuming Xing
  • Shoshana Abramovich
  • Quadratic Operators and Quadratic Functional Equation
  • M. Adam and S. Czerwik
  • On the Regions Containing All the Zeros of a Polynomial
  • Chadia Affane-Aji and N.K. Govil
  • Some Remarks on the Group of Isometries of a Metric Space
  • Dorin Andrica and Vasile Bulgarean
  • Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings
  • P. Găvruţa and L. Găvruţa
  • Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras
  • Madjid Eshaghi Gordji, N. Ghobadipour, A. Ebadian, M. Bavand Savadkouhi and Choonkil Park
  • Approximately Cubic n-Derivations on Non-archimedean Banach Algebras
  • F. Habibian, R. Bolghanabadi and M. Eshaghi Gordji
  • Fuzzy Stability of a Quadratic-Additive Type Functional Equation
  • Sun-Sook Jin and Yang-Hi Lee
  • Generalized Hyers-Ulam Stability of Cauchy-Jensen Functional Equations
  • Kil-Woung Jun, Hark-Mahn Kim and Eun Young Son
  • A Survey on Jessen's Type Inequalities for Positive Functionals
  • Fixed Point Approach to the Stability of the Gamma Functional Equation
  • Soon-Mo Jung
  • S.S. Dragomir
  • On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-Ternary Algebras and Quasi-Banach Algebras
  • Ali Ebadian and Norouz Ghobadipour
  • Fixed Point Approach to the Stability of the Quadratic Functional Equation
  • Elqorachi Elhoucien and Manar Youssef
  • Bohr's Inequality Revisited
  • Masatoshi Fujii, Mohammad Sal Moslehian and Jadranka Mićić
  • Multiple Orthogonality and Applications in Numerical Integration
  • Gradimir V. Milovanović and Marija P. Stanić
  • Approximate C*-Algebra Homomorphisms Associated to an Apollonius-Jensen Type Additive Mapping; A Fixed Point Approach
  • Fridoun Moradlou and G. Zamani Eskandani
  • The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions
  • Dumitru Motreanu and Patrick Winkert
  • Korovkin Type Approximation Theorem for Almost and Statistical Convergence
  • M. Mursaleen and S.A. Mohiuddine
  • On the Stability of an Additive Mapping
  • Abbas Najati
  • Random Stability of an AQCQ Functional Equation: A Fixed Point Approach
  • Existence Results for Extended General Nonconvex Quasi-variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities
  • Muhammad Aslam Noor, Khalida Inayat Noor and Eisa Al-Said
  • Hassan Azadi Kenary
  • Basis Sets in Banach Spaces
  • S.V. Konyagin and Y.V. Malykhin
  • Inequalities for Trigonometric Sums
  • Stamatis Koumandos
  • On Vandiver's Best Result on FLT1
  • Preda Mihăilescu
  • Stability of Affine Approximations on Bounded Domains
  • V.Y. Protasov
  • Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and Bi-Univalent Analytic Functions
  • H.M. Srivastava
  • The Hyers-Ulam and Hahn-Banach Theorems and Some Elementary Operations on Relations Motivated by Their Set-Valued Generalizations
  • Árpád Száz
  • Spectral Analysis and Spectral Synthesis
  • László Székelyhidi
  • Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky
  • Abraham Albert Ungar
  • On the Asymptotic Behavior of Solutions to General Linear Functional Equations
  • Hilbert-Type Integral Operators: Norms and Inequalities
  • Bicheng Yang
  • On the Stability of the Pexiderized Sine Functional Equation
  • Xiaopeng Zhao and Xiuzhong Yang
  • Stability of Additive-Quadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces
  • Zhihua Wang
  • B. Paneah
  • On the Stability of an Additive and Quadratic Functional Equation
  • Choonkil Park
  • Classification and Stability of Functional Equations
  • Choonkil Park, Madjid Eshaghi Gordji and Reza Saadati
  • Exotic n-D'Alembert PDEs and Stability
  • Agostino Prástaro
Control code
794982470
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9781461434986
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4614-3498-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)794982470

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