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Zbl 0934.26003
Bullen, P.S.
A dictionary of inequalities. (English)
[B] Pitman Monographs and Surveys in Pure and Applied Mathematics. 97. Harlow: Longman. x, 283 p. \$ 86.95; \sterling 52.00 (1998). ISBN 0-582-32748-2/hbk

This book is a reference book which contains many inequalities. They can be located either by name or by subject. The scope of the book is broad: the classical inequalities for various means, inequalities of Hardy, Landau, Kolmogorov, Sobolev, Bernstein, Markov, Hadamard, and many other inequalities are formulated. Proofs are not included but references are given.\par The bibliography contains references to many books published on inequalities, but relatively few references to papers. Although the material covered is very large, the book does not cover all inequalities known. Many geometrical inequalities are not discussed, the book by {\it Yu. D. Burago} and {\it V. A. Zalgaller}: ``Geometric inequalities'' (Russian) (1980; Zbl 0436.52009; English translation 1988; Zbl 0633.53002), is not mentioned. Inequalities for eigenvalues of differential and abstract operators are basically not discussed. One may find other omissions, but on the other hand it is probably impossible to cover completely such a diverse and vast area as inequalities.\par The book is a useful addition to the literature.
[A.G.Ramm (Manhattan)]

MSC 2000:: *26Dxx Inequalities involving real functions
00A20 Dictionaries and other general reference works

Keywords: reference book; inequalities

Citations: Zbl 0436.52009; Zbl 0633.53002

Cited in: Zbl 1099.26013 Zbl 1055.26013

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