Frontiers in functional equations and analytic inequalities
著者
書誌事項
Frontiers in functional equations and analytic inequalities
Springer, c2019
大学図書館所蔵 全2件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references and index
内容説明・目次
内容説明
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics:
Hyperstability of a linear functional equation on restricted domains
Hyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equations
Topological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equations
General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces
Stabilities of Functional Equations via Fixed Point Technique
Measure zero stability problem for the Drygas functional equation with complex involution
Fourier Transforms and Ulam Stabilities of Linear Differential Equations
Hyers-Ulam stability of a discrete diamond-alpha derivative equation
Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation.
The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
目次
TOC: TABLE OF CONTENTS:
1. Functional Equations and Applications
2. Methods of Solving Functional Equations
3. General Solution of Euler-Lagrange Type Functional Equations
4. General Solution of Euler-Lagrange-Jensen Type Functional Equations
5. General Solution of Cubic , Quartic Type Functional Equations
6. Solution of Quintic , Sextic, Septic, Octic,..., Functional Equations
7. Mixed Type Functional Equations
8. Two-Variable and Functional Equations in Several Variables
9. The Famous Ulam Stability Problem
10. Ulam Stability of Functional Equations in Various Spaces
11. Approximation and Functional Inequalities
12. Ulam-Hyers Stabilities of Functional Equations in Normed Spaces
13. Stabilities of Functional Equations on C*-algebras and Lie C*-algebras
14. Ulam Stability of Mixed Type Mappings on Restricted Domains
15. Related Topics on Distributions and Hyperfunctions
16. Ostrowski inequalities
17. Opial inequalities
18. Poincare inequalities
19. Sobolev inequalities
20. Polya inequalities
21. Means inequalities
22. Gruss inequalities
23. Fractional differentiation inequalities
24. Operator inequalities
25. Multivariate domain inequalities on cube and sphere
26. Time scale inequalities and fractionality
27. Stochastic inequalities
28. Csiszar f-divergence representations and estimates
29. Inequalities of Hermite-Hadamard type
30. Inequalities for Convex Functions
「Nielsen BookData」 より