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Autor: Mitrinović, Dragoslav S.
Rok: 1991.
ISBN: 9780792313304
OKCZID: 110429998
Citace (dle ČSN ISO 690):
MITRINOVIĆ, Dragoslav S., Arlington M. FINK a J. E. PEČARIĆ. Inequalities involving functions and their integrals and derivatives. Dordrecht: Kluwer Academic Publishers, c1991, 587 s. Mathematics and its applications. East European series, 53. ISBN
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 which 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.