A three point quadrature rule for functions of bounded variation and applications

被引：1

作者：

Dragomir, S. S. ^{[1
,2
]}

Momoniat, E. ^{[2
]}

机构：

[1] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 3-4期

关键词：

Three point rules; Quadratures; Integral inequalities; Special means; Selfadjoint operators in Hilbert Spaces; Spectral families; INTEGRAL INEQUALITY; OSTROWSKI; MAPPINGS;

D O I：

10.1016/j.mcm.2012.07.024

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A three point quadrature rule approximating the Riemann integral for a function of bounded variation f by a linear combination with real coefficients of the values f (a), f (x) and f (b) with x is an element of [a, b] whose sum is equal to b - a is given. Applications for special means inequalities and in establishing a priori error bounds for the approximation of selfadjoint operators in Hilbert spaces by spectral families are provided as well. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：612 / 622

页数：11

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