LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Handbook of Means and Their Inequalities ([EBook]) / by P. S. Bullen.
Author	Bullen, Peter S.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 2003.
Physical Details	XXVIII, 538 pages : online resource.
Series	Mathematics and its applications ; 560
ISBN	9789401703994
Summary Note	There seems to be two types of books on inequalities. On the one hand there are treatises that attempt to cover all or most aspects of the subject, and where an attempt is made to give all results in their best possible form, together with either a full proof or a sketch of the proof together with references to where a full proof can be found. Such books, aimed at the professional pure and applied mathematician, are rare. The first such, that brought some order to this untidy field, is the classical "Inequalities" of Hardy, Littlewood & P6lya, published in 1934. Important as this outstanding work was and still is, it made no attempt at completeness; rather it consisted of the total knowledge of three front rank mathematicians in a field in which each had made fundamental contributions. Extensive as this combined knowledge was there were inevitably certain lacunre; some important results, such as Steffensen's inequality, were not mentioned at all; the works of certain schools of mathematicians were omitted, and many important ideas were not developed, appearing as exercises at the ends of chapters. The later book "Inequalities" by Beckenbach & Bellman, published in 1961, repairs many of these omissions. However this last book is far from a complete coverage of the field, either in depth or scope.:
Contents note	I Introduction -- II The Arithmetic, Geometric and Harmonic Means -- III The Power Means -- IV Quasi-Arithmetic Means -- V Symmetric Polynomial Means -- VI Other Topics -- Books -- Papers -- Name Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-017-0399-4
Links to Related Works	Subject References: Applied mathematics . Approximation theory . Engineering mathematics . Functions of real variables . Mathematics . Real Functions . Sequences (Mathematics) . Sequences, Series, Summability . Statistics . Authors: Bullen, Peter S. . Bullen, Peter S. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 515.8 .

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Handbook of Means and Their Inequalities

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