Mathematical Inequalities: A Perspective - Tapa dura

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"Written by two leading experts in this subject, this book is both a text on a topic of current interest in inequalities and a great overview of the techniques and striking applications of the inequalities theory." -Dumitru Acu, Zentralblatt MATH 1298 "Cerone and Dragomir have successfully produced an extensive list of inequalities used in analysis. ... The writing is straightforward and the text often references results given elsewhere. ... Recommended." - J.R. Burke, CHOICE, December 2011 "... a well-written and welcome addition to the literature. ... to have the results in one place is a service to all interested parties." - P.S. Bullen, Mathematical Reviews, Issue 2011m "One of the most interesting aspects is many instances of 'reverses' ... a useful book if you are interested in its specific subject matter ..." - MAA Reviews, February 2011

Reseña del editor

Drawing on the authors’ research work from the last ten years, Mathematical Inequalities: A Perspective gives readers a different viewpoint of the field. It discusses the importance of various mathematical inequalities in contemporary mathematics and how these inequalities are used in different applications, such as scientific modeling.

The authors include numerous classical and recent results that are comprehensible to both experts and general scientists. They describe key inequalities for real or complex numbers and sequences in analysis, including the Abel; the Biernacki, Pidek, and Ryll–Nardzewski; Cebysev’s; the Cauchy–Bunyakovsky–Schwarz; and De Bruijn’s inequalities. They also focus on the role of integral inequalities, such as Hermite–Hadamard inequalities, in modern analysis. In addition, the book covers Schwarz, Bessel, Boas–Bellman, Bombieri, Kurepa, Buzano, Precupanu, Dunkl–William, and Grüss inequalities as well as generalizations of Hermite–Hadamard inequalities for isotonic linear and sublinear functionals.

For each inequality presented, results are complemented with many unique remarks that reveal rich interconnections between the inequalities. These discussions create a natural platform for further research in applications and related fields.