Functional Equations in Mathematical Analysis
Editor
- Themistocles M. Rassias(National Technical University of Athens)Janusz Brzdek(Pedagogical University)
Abstract
Individual chapters are listed in the "Chapters" tab
Suggested Citation
DOI: 10.1007/978-1-4614-0055-4
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Book Chapters
The following chapters of this book are listed in IDEAS- Roman Badora, 2011. "Stability Properties of Some Functional Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 3-13, Springer.
- Bogdan Batko, 2011. "Note on Superstability of Mikusiński’s Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 15-17, Springer.
- Liviu Cădariu & Viorel Radu, 2011. "A General Fixed Point Method for the Stability of Cauchy Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 19-32, Springer.
- Jacek Chmieliński, 2011. "Orthogonality Preserving Property and its Ulam Stability," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 33-58, Springer.
- Jae-Young Chung, 2011. "On the Hyers–Ulam Stability of Functional Equations with Respect to Bounded Distributions," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 59-78, Springer.
- Krzysztof Ciepliński, 2011. "Stability of Multi-Jensen Mappings in Non-Archimedean Normed Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 79-86, Springer.
- Stefan Czerwik, 2011. "On Stability of the Equation of Homogeneous Functions on Topological Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 87-96, Springer.
- Elhoucien Elqorachi & Youssef Manar & Themistocles M. Rassias, 2011. "Hyers–Ulam Stability of the Quadratic Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 97-105, Springer.
- M. Eshaghi-Gordji & H. Khodaei & H. Baghani & M. Ramezani, 2011. "Intuitionistic Fuzzy Approximately Additive Mappings," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 107-124, Springer.
- Jinmei Gao, 2011. "Generalized Hyers–Ulam Stability for General Quadratic Functional Equation in Quasi-Banach Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 125-138, Springer.
- Laura Găvruţa & Paşc Găvruţa, 2011. "Ulam Stability Problem for Frames," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 139-152, Springer.
- Kil-Woung Jun & Hark-Mahn Kim & Jiae Son, 2011. "Generalized Hyers–Ulam Stability of a Quadratic Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 153-164, Springer.
- Kil-Woung Jun & Yang-Hi Lee, 2011. "On the Hyers–Ulam–Rassias Stability of the Bi-Pexider Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 165-175, Springer.
- Krzysztof Misztal & Jacek Tabor & Józef Tabor, 2011. "Approximately Midconvex Functions," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 177-190, Springer.
- Takeshi Miura & Go Hirasawa, 2011. "The Hyers–Ulam and Ger Type Stabilities of the First Order Linear Differential Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 191-199, Springer.
- Takeshi Miura & Go Hirasawa & Takahiro Hayata, 2011. "On the Butler–Rassias Functional Equation and its Generalized Hyers–Ulam Stability," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 201-206, Springer.
- Takeshi Miura & Go Hirasawa & Sin-Ei Takahasi & Takahiro Hayata, 2011. "A Note on the Stability of an Integral Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 207-222, Springer.
- Abbas Najati & Themistocles M. Rassias, 2011. "On the Stability of Polynomial Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 223-227, Springer.
- Choonkil Park & Madjid Eshaghi-Gordji, 2011. "Isomorphisms and Derivations in Proper JCQ*-Triples," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 229-245, Springer.
- Choonkil Park & Themistocles M. Rassias, 2011. "Fuzzy Stability of an Additive-Quartic Functional Equation: A Fixed Point Approach," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 247-260, Springer.
- Dorian Popa, 2011. "Selections of Set-Valued Maps Satisfying Functional Inclusions on Square-Symmetric Grupoids," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 261-272, Springer.
- Vladimir Yu. Protasov, 2011. "On Stability of Isometries in Banach Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 273-285, Springer.
- Ioan A. Rus, 2011. "Ulam Stability of the Operatorial Equations," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 287-305, Springer.
- G. Zamani Eskandani & Paşc Găvruţa, 2011. "Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 307-318, Springer.
- Wanxiong Zhang & Zhihua Wang, 2011. "Stability of the Quadratic–Cubic Functional Equation in Quasi–Banach Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 319-336, Springer.
- D. Zeglami & S. Kabbaj & A. Charifi & A. Roukbi, 2011. "μ-Trigonometric Functional Equations and Hyers–Ulam Stability Problem in Hypergroups," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 337-358, Springer.
- Chang-Jian Zhao & Wing-Sum Cheung, 2011. "On Multivariate Ostrowski Type Inequalities," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 361-369, Springer.
- Antoni Chronowski, 2011. "Ternary Semigroups and Ternary Algebras," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 371-416, Springer.
- Małgorzata Chudziak, 2011. "Popoviciu Type Functional Equations on Groups," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 417-426, Springer.
- Sever S. Dragomir, 2011. "Norm and Numerical Radius Inequalities for Two Linear Operators in Hilbert Spaces: A Survey of Recent Results," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 427-490, Springer.
- Konstantinos Drakakis, 2011. "Cauchy’s Functional Equation and Nowhere Continuous /Everywhere Dense Costas Bijections in Euclidean Spaces," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 491-508, Springer.
- Eliza Jabłońska, 2011. "On Solutions of Some Generalizations of the Goła̧b–Schinzel Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 509-521, Springer.
- Wojciech Jabłoński, 2011. "One-parameter Groups of Formal Power Series of One Indeterminate," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 523-545, Springer.
- Hans-Heinrich Kairies, 2011. "On Some Problems Concerning a Sum Type Operator," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 547-554, Springer.
- George Kouvaras & George Kokolakis, 2011. "Priors on the Space of Unimodal Probability Measures," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 555-561, Springer.
- Janusz Matkowski, 2011. "Generalized Weighted Arithmetic Means," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 563-582, Springer.
- Janusz Matkowski, 2011. "On Means Which are Quasi-Arithmetic and of the Beckenbach–Gini Type," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 583-597, Springer.
- Vladimir V. Mityushev, 2011. "Scalar Riemann–Hilbert Problem for Multiply Connected Domains," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 599-632, Springer.
- Vicente Muñoz & Ricardo Pérez Marco, 2011. "Hodge Theory for Riemannian Solenoids," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 633-657, Springer.
- Anna Mureńko, 2011. "On Solutions of a Generalization of the Goła̧b–Schinzel Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 659-670, Springer.
- Prem Nath & Dhiraj Kumar Singh, 2011. "On a Functional Equation Containing an Indexed Family of Unknown Mappings," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 671-687, Springer.
- Muhammad Aslam Noor & Khlaida Inayat Noor & Eisa Al-Said, 2011. "Two-Step Iterative Method for Nonconvex Bifunction Variational Inequalities," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 689-696, Springer.
- Prasanna K. Sahoo, 2011. "On a Sincov Type Functional Equation," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 697-708, Springer.
- Gheorghe Toader & Iulia Costin & Silvia Toader, 2011. "Invariance in Some Families of Means," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 709-717, Springer.
- Bicheng Yang, 2011. "On a Hilbert-Type Integral Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 719-725, Springer.
- Bicheng Yang, 2011. "An Extension of Hardy–Hilbert’s Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 727-738, Springer.
- Bicheng Yang & Themistocles M. Rassias, 2011. "A Relation to Hilbert’s Integral Inequality and a Basic Hilbert-Type Inequality," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, chapter 0, pages 739-748, Springer.
- Wanxiong Zhang & Zhihua Wang, 2012. "Erratum," Springer Optimization and Its Applications, in: Themistocles M. Rassias & Janusz Brzdek (ed.), Functional Equations in Mathematical Analysis, pages E1-E1, Springer.
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