Ostrowski Type Inequalities and Applications in Numerical Integration

ISBN-13: 9789048159901 / Angielski / Miękka / 2010 / 482 str.

Sever S. Dragomir; Themistocles M. Rassias

Opis

The main aim of the present work is to present a number of selected results on Ostrowski-type integral inequalities. Results for univariate and multivariate real functions and their natural applications in the error analysis of numerical quadratures for both simple and multiple integrals as well as for the Riemann-Stieltjes integral are given. Topics dealt with include generalisations of the Ostrowski inequality and its applications; integral inequalities for n-times differentiable mappings; three-point quadrature rules; product-branched Peano kernels and numerical integration; Ostrowski-type inequalities for multiple integrals; results for double integrals based on an Ostrowski-type inequality; product inequalities and weighted quadrature; and some inequalities for the Riemann-Stieltjes integral.

Spis treści

List of Figures. List of Tables. Preface. List of Symbols. 1. Generalizations of the Ostrowski Inequality and Applications; S.S. Dragomir, T.M. Rassias. 2. Integral Inequalities for eta-Times Differentiable Mappings; A. Sofo. 3. Three Point Quadrature Rules; P. Cerone, S.S. Dragomir. 4. Product Branched Peano Kernels and Numerical Integration; P. Cerone. 5. Ostrowski Type Inequalities for Multiple Integrals; N.S. Barnett, et al. 6. Results for Double Integrals Based on an Ostrowski Type Inequality; G. Hanna. 7. Product Inequalities and Weighted Quadrature; J. Roumeliotis. 8. Some Inequalities for the Riemann-Stieltjes Integral; S.S. Dragomir, T.M. Rassias. Index.