Approximating the Stieltjes integral via a weighted trapezoidal rule with applications

被引：2

作者：

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

Fedotov, I. ^{[3
]}

机构：

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

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

[3] Tshwane Univ Technol, Dept Math & Stat, ZA-001 Pretoria, South Africa

来源：

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

关键词：

Stieltjes integral; Riemann integral; Generalized trapezoid inequality; Selfadjoint operators; Functions of selfadjoint operators; Spectral representation; OSTROWSKI TYPE INEQUALITIES; GRUSS INEQUALITY; MAPPINGS;

D O I：

10.1016/j.mcm.2012.07.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we provide sharp error bounds in approximating the weighted Riemann-Stieltjes integral integral(b)(a)f(t)g(t)d alpha(t) by the weighted trapezoidal rule f(a)+f(b)/2 integral(b)(a)g(t) d alpha(t). Applications for continuous functions of selfadjoint operators in complex Hilbert spaces are given as well. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：602 / 611

页数：10

共 50 条

[1] Approximating the Riemann-Stieltjes integral by a trapezoidal quadrature rule with applications
Dragomir, S. S.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 243 - 260
[2] APPROXIMATING THE STIELTJES INTEGRAL BY USING THE GENERALIZED TRAPEZOID RULE
Asanov, Avyt
Chelik, Haluk
Chalish, Ali
MATEMATICHE, 2011, 66 (02): : 13 - 21
[3] Approximating the Stieltjes Integral Using the Generalized Midpoint Rule
Asanov, Avyt
Chelik, M. Haluk
Abdujabarov, M. Muso
MATEMATIKA, 2011, 27 (02) : 139 - 148
[4] Approximating the Riemann-Stieltjes integral in terms of generalised trapezoidal rules
Dragomir, S. S.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E62 - E72
[5] Approximating the Stieltjes integral for (φ, Φ)-Lipschitzian integrators
Dragomir, S. S.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2008, 77 (01) : 73 - 90
[6] Approximating the Riemann-Stieltjes integral via a Chebyshev type functional
Dragomir, S. S.
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2014, 18 (02): : 239 - 259
[7] Approximating the Riemann-Stieltjes integral via some moments of the integrand
Cerone, P.
Dragomir, S. S.
MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (1-2) : 242 - 248
[8] Approximating the Stieltjes integral of bounded functions and applications for three point quadrature rules
Dragomir, Sever Silvestru
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 523 - 536
[9] Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications
Pietro Cerone
Sever S Dragomir
Journal of Inequalities and Applications, 2013
[10] Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications
Cerone, Pietro
Dragomir, Sever S.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

← 1 2 3 4 5 →