عنوان

Functional equations and inequalities in several variables /

شابک

9789812778116

شابک

981277811X

شابک اشتباه

9789810248376

شابک اشتباه

9789812778116

شابک اشتباه

9810248377

شماره

b717734

عنوان اصلي

Functional equations and inequalities in several variables /

نام عام مواد

[Book]

نام نخستين پديدآور

Stefan Czerwik.

محل نشرو پخش و غیره

River Edge, N.J. :

نام ناشر، پخش کننده و غيره

World Scientific,

تاریخ نشرو بخش و غیره

©2002.

نام خاص و کميت اثر

1 online resource (xi, 410 pages)

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Pt. I. Functional equations and inequalities in linear spaces. 1. Linear spaces and semilinear topology -- 2. Convex functions -- 3. Lower hull of a convex function -- 4. Theorems of Bernstein-Doetsch, Piccard and Mehdi -- 5. Some set classes of continuous and J-convex functions -- 6. Cauchy's exponential equation -- 7. D'Alembert's equation on abelian groups -- 8. D'Alembert's equation on topological groups -- 9. Polynomial functions and their extensions -- 10. Quadratic mappings -- 11. Quadratic equation on an interval -- 12. Functional equations for quadratic differences -- pt. II. Ulam-Hyers-Rassias stability of functional equations. 13. Additive Cauchy equation -- 14. Multiplicative Cauchy equation -- 15. Jensen's functional equation -- 16. Pexider's functional equation -- 17. Gamma functional equation -- 18. D'Alembert's and Lobaczevski's functional equations -- 19. Stability of homogeneous mappings -- 20. Quadratic functional equation -- 21. Stability of functional equations in function spaces -- 22. Cauchy difference operator in L[symbol] spaces -- 23. Pexider difference operator in L[symbol] spaces -- 24. Cauchy and Pexider operators in X[symbol] spaces -- 25. Stability in the Lipschitz norms -- 26. Round-off stability of iterations -- 27. Quadratic difference operator in L[symbol] spaces -- pt. III. Functional equations in set-valued functions. 28. Cauchy's set-valued functional equation -- 29. Jensen's functional equation -- 30. Pexider's functional equation -- 31. Quadratic set-valued functions -- 32. Subadditive set-valued functions -- 33. Superadditive set-valued functions and generalization of Banach-Steinhaus theorem -- 34. Hahn-Banach type theorem and applications -- 35. Subquadratic set-valued functions -- 36. K-convex and K-concave set-valued functions -- 37. Iteration semigroups of set-valued functions.

بدون عنوان

0

متن يادداشت

This book outlines the modern theory of functional equations and inequalities in several variables. It consists of three parts. The first is devoted to additive and convex functions defined on linear spaces with semilinear topologies. In the second part, the problems of stability of functional equations in the sense of Ulam-Hyers-Rassias and in some function spaces are considered. In the last part, the functional equations in set-valued functions are dealt with - for the first time in the mathematical literature. The book contains many fresh results concerning those problems.

عنوان

Functional equations and inequalities in several variables.

شماره استاندارد بين المللي کتاب و موسيقي

9789810248376

موضوع مستند نشده

Functional equations.

موضوع مستند نشده

Inequalities (Mathematics)

موضوع مستند نشده

Équations fonctionnelles.

موضوع مستند نشده

Inégalités (Mathématiques)

موضوع مستند نشده

Functional equations.

موضوع مستند نشده

Inequalities (Mathematics)

موضوع مستند نشده

MATHEMATICS-- Functional Analysis.

موضوع مستند نشده

MAT-- 037000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Czerwik, Stefan.

تاريخ عمليات

20201208100037.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y