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＜電子ブック＞
Ostrowski Type Inequalities and Applications in Numerical Integration / edited by Sever S. Dragomir, Themistocles RASSIAS

版	1st ed. 2002.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	2002
本文言語	英語
大きさ	XX, 482 p : online resource
著者標目	Dragomir, Sever S editor RASSIAS, Themistocles editor SpringerLink (Online service)
件　名	LCSH:Integral equations LCSH:Approximation theory LCSH:Probabilities LCSH:Mathematics -- Data processing  全ての件名で検索 FREE:Integral Equations FREE:Approximations and Expansions FREE:Probability Theory FREE:Computational Mathematics and Numerical Analysis
一般注記	1 Generalisations of the Ostrowski Inequality and Applications -- 2 Integral Inequalities for n—Times Differentiable Mappings -- 3 Three Point Quadrature Rules -- 4 Product Branched Peano Kernels and Numerical Integration -- 5 Ostrowski Type Inequalities for Multiple Integrals -- 6 Results for Double Integrals Based on an Ostrowski Type Inequality -- 7 Product Inequalities and Weighted Quadrature -- 8 Some Inequalities for the Riemann-Stieltjes Integral It was noted in the preface of the book "Inequalities Involving Functions and Their Integrals and Derivatives", Kluwer Academic Publishers, 1991, by D.S. Mitrinovic, J.E. Pecaric and A.M. Fink; since the writing of the classical book by Hardy, Littlewood and Polya (1934), the subject of differential and integral inequalities has grown by about 800%. Ten years on, we can confidently assert that this growth will increase even more significantly. Twenty pages of Chapter XV in the above mentioned book are devoted to integral inequalities involving functions with bounded derivatives, or, Ostrowski type inequalities. This is now itself a special domain of the Theory of Inequalities with many powerful results and a large number of applications in Numerical Integration, Probability Theory and Statistics, Information Theory and Integral Operator Theory. The main aim of the present book, jointly written by the members of the Vic­ toria University node of RGMIA (Research Group in Mathematical Inequali­ ties and Applications, http: I /rgmia. vu. edu. au) and Th. M. Rassias, is to present a selected number of results on Ostrowski type inequalities. Results for univariate and multivariate real functions and their natural applications in the error analysis of numerical quadrature for both simple and multiple integrals as well as for the Riemann-Stieltjes integral are given HTTP:URL=https://doi.org/10.1007/978-94-017-2519-4

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