Nonlinear Analysis Stability, Approximation, and Inequalities
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...
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Format:  eBook 
Language:  English 
Published: 
New York, NY
Springer New York
2012, 2012

Edition:  1st ed. 2012 
Series:  Springer Optimization and Its Applications

Subjects:  
Online Access:  
Collection:  Springer eBooks 2005  Collection details see MPG.ReNa 
Table of Contents:
 11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing)
 12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir)
 13. On Approximate Biquadratic Bihomomorphisms and Biquadratic Biderivations in C*ternary algebras and quasiBanach algebras (A. Ebadian, N. Ghobadipour)
 14. Fixed points approach to the stability of the quadratic functional equation (E. Elhoucien, M. Youssef)
 15. Bohr’s Inequality Revisited (M. Fujii, M. S. Moslehian, J. Mićić)
 16. HyersUlamRassias Stability of Orthogonal Additive Mappings (P. Găvruţa and L. Găvruţa)
 17. Approximate Ternary Jordan Homomorphisms on Banach Ternary Algebras (M.E. Gordji, N. Ghobadipour, A. Ebadian, M. B. Savadkouhi, C. Park)
 18. Approximately Cubic n−derivations on Non–archimedean Banach Algebras (F. Habibian, R. Bolghanabadi, M.E. Gordji)
 19. Fuzzy Stability of a Quadraticadditive Type Functional Equation (S. S. Jin, Y.H. Lee)
 20. Generalized HyersUlam Stability of Cauchy–Jensen Functional Equations (K.W. Jun, H.M. Kim, E. Y. Son)
 21. A Fixed Point Approach to the Stability of the Gamma Functional Equation (S.M. Jung)
 22. Random Stability of An AQCQ Functional Equation: A Fixed Point Approach (H.A. Kenary)
 23. Basis Sets in Banach Spaces (S.V. Konyagin, Y.V. Malykhin)
 24. Inequalities for Trigonometric Sums (S. Koumandos)
 25. On Vandiver’s Best Result on FLT1 (P. Mihăilescu)
 26. Multiple Orthogonality and Applications in Numerical Integration (G. V. Milovanović, M.P. Stanić)
 27. Approximate C∗Algebra Homomorphisms Associated to an Apollonius  Jensen type Additive Mapping; A Fixed Point Approach (F. Moradlou, G. Z. Eskandani)
 28. The Fučík Spectrum for the Negative pLaplacian with Different Boundary Conditions (D. Motreanu, P. Winkert)
 29. Korovkin Type Approximation Theorem for Almost and Statistical Convergence (M. Mursaleen, S. A. Mohiuddine)
 30. On the Stability of an Additive (A. Najati)
 31. Existence Results for Extended General Nonconvex Quasivariational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)
 32. Iterative Projection Methods for Solving Systems of General Nonconvex Variational Inequalities (M.A. Noor, K.I. Noor, E. AlSaid)
 33. On the Asymptotic Behavior of Solutions to General Linear Functional Equations (B. Paneah)
 34. On the Stability of an Additive and Quadratic Functional Equation (C. Park)
 35. Classification and Stability of Functional Equations (C. Park, M. E. Gordji, R. Saadati)
 36. Exotic nd’Alembert PDE’s and Stability (A. Prástaro)
 37. Stability of Affine Approximations on Bounded Domains (V.Y. Protasov)
 38. Some Inequalities and Other Results Associated with Certain Subclasses of Univalent and BiUnivalent Analytic Functions (H. M. Srivastava)
 39. The Hyers–Ulam and the Hahn–Banach Theorems and Some Elementary Operations on Relations Motivated by Their Setvalued Generalizations (Á. Száz)
 40. Spectral Analysis and Spectral Synthesis (L. Székelyhidi)
 41. Möbius Transformation and Einstein Velocity Addition in the Hyperbolic Geometry of Bolyai and Lobachevsky (A. A. Ungar)
 42. HilbertType Integral Operators: Norms and Inequalities (B. Yang)
 43. On the Stability of the Pexiderized Sine Functional Equation (X. Zhao, X. Yang)
 44. Stability of Additivequadratic Functional Equations in Intuitionistic Fuzzy Normed Spaces (W. Zhihua, Z. Wanxiong)
 Preface
 1. Bounds of Jensen’s Type Inequality and Eigenvalues of SturmLiouville System (S. Abramovich)
 2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik)
 3. On the Regions Containing All the Zeros of a Polynomial (C. AffaneAji, N.K. Govil)
 4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean)
 5. Rationality of the Moduli Space of Stable Pairs over a Complex Curve (I. Biswas, M. Logares, V. Muñoz)
 6. Generalized pvalent Janowski ClosetoConvex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz)
 7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdęk, D. Popa, B. Xu)
 8. On a Curious qhypergeometric Identity (M. J. Cantero, A. Iserles)
 9. Jensen and Quadratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo)
 10. On Bohr’s Inequalities (W.S. Cheung, G. Leng, J. Pečarić, D. Zhao)