Inequalities involving functions and their integrals and derivatives
|責任表示||by D.S. Mitrinović, J.E. Pečarić, and A.M. Fink|
|シリーズ||Mathematics and its applications ; . East European series ; v. 53|
|出版者||Dordrecht ; Boston : Kluwer Academic Publishers|
|大きさ||xvi, 587 p. ; 25 cm|
|概要||This volume provides a comprehensive, up-to-date survey of inequalities that involve a relationship between a function and its derivatives or integrals. The book is divided into 18 chapters, some of ...hich are devoted to specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, Hilbert, Caplygin, Lyapunov, Gronwell and others. Over 800 references to the literature are cited; proofs are given when these provide insight into the general methods involved; and applications, especially to the theory of differential equations, are mentioned when appropriate. This volume will interest all those whose work involves differential and integral equations. It can also be recommended as a supplementary text. 続きを見る|
|一般注記||Includes bibliographical references and index|
|著者標目||*Mitrinović, Dragoslav S.
Pečarić, J. E.
Fink, A. M. (Arlington M.), 1932-
|件 名||LCSH:Integral inequalities