Ostrowski Type Inequalities and Applications in Numerical Integration

AvSever S. Dragomir,Themistocles RASSIAS

Häftad, Engelska, 2010

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-12-01
Mått:210 x 279 x 28 mm
Vikt:1 215 g
Format:Häftad
Språk:Engelska
Antal sidor:482
Förlag:Springer
ISBN:9789048159901

Utforska kategorier

Innehållsförteckning

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.