Ostrowski Type Inequalities And Applications In Numerical Integration

 Ostrowski Type Inequalities and Applications in Numerical Integration Text fb2 ebook

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 thi...

Hardcover: 482 pages
Publisher: Springer; 2002 edition (May 31, 2002)
Language: English
ISBN-10: 1402005628
ISBN-13: 978-1402005626
Product Dimensions: 6.1 x 1.1 x 9.2 inches
Amazon Rank: 7798446
Format: PDF ePub fb2 djvu book

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ll 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.