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Title 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
Published New York, NY : Springer, [2012]
©2012
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Series Springer optimization and its applications, 1931-6828 ; v. 68
Springer optimization and its applications ; v. 68
Contents Bounds of Jensen's Type Inequality and Eigenvalues of Sturm-Liouville System / 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 -- 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 Brzdęk, 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 -- 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
A Survey on Jessen's Type Inequalities for Positive Functionals / 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 -- 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 -- Fixed Point Approach to the Stability of the Gamma Functional Equation / Soon-Mo Jung
Random Stability of an AQCQ Functional Equation: A Fixed Point Approach / 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 -- 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 -- 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
On the Asymptotic Behavior of Solutions to General Linear Functional Equations / 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 -- 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 -- 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
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
Analysis Mathematics
Systems theory
Mathematical optimization
Optimization
Approximations and Expansions
Systems Theory, Control
Bibliography Includes bibliographical references
Subject Nonlinear theories.
Genre/Form Festschriften.
Form Electronic book
Author Pardalos, P. M. (Panos M.), 1954-
Georgiev, Pando G.
Srivastava, H. M.
ISBN 146143498X (electronic bk.)
9781461434986 (electronic bk.)