| 书目名称 | New Perspectives on the Theory of Inequalities for Integral and Sum | | 编辑 | Nazia Irshad,Asif R. Khan,Josip Pečarić | | 视频video | | | 概述 | Presents results thanks to generalizations of different works.Provides new applications to various fields.Includes a chapter on Ostrowski inequality | | 图书封面 |  | | 描述 | This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff‘s interpolation polynomials, Hermite interpolation polynomials and the Fink identity with Green’s functions, are presented. The second chapter is dedicated to Ostrowski’s inequality and results with applications to numerical integration and probability theory. The third chapter deals with results involving functions with nondecreasing increments. Real life applications are discussed, as well as and connection of functions with nondecreasing increments together with many important concepts including arithmetic integral mean, wright convex functions, convex functions, nabla-convex functions, Jensen m-convex functions, m-convex functions, m-nabla-convex functions, k-monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace transform and exponentially convex functions, by using the finite differe | | 出版日期 | Book 2021 | | 关键词 | Abel-Gontscharoff interpolating polynomial; Bernstein polynomial; Bounded differentiable function; Cebys | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-90563-7 | | isbn_softcover | 978-3-030-90565-1 | | isbn_ebook | 978-3-030-90563-7 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:34:07
