Mathematical inequalities
著者
書誌事項
Mathematical inequalities
CRC Press, c2011
- : hardback
- : pbk
- タイトル別名
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Mathematical inequalities : a perspective
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注記
Includes bibliographical references (p. 371-382) and index
内容説明・目次
内容説明
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 Gruss 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.
目次
Discrete Inequalities. Integral Inequalities for Convex Functions. Ostrowski and Trapezoid-Type Inequalities. Gruss-Type Inequalities and Related Results. Inequalities in Inner Product Spaces. Inequalities in Normed Linear Spaces and for Functionals. References. Index.
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