Sharp error bounds in approximating the Riemann-Stieltjes integral by a generalised trapezoid formula and applications

Author:

Cerone Pietro,Dragomir Sever S

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference10 articles.

1. Dragomir SS, Buse C, Boldea MV, Braescu L: A generalization of the trapezoidal rule for the Riemann-Stieltjes integral and applications. Nonlinear Anal. Forum 2001, 6(2):337–351.

2. Cerone P, Dragomir SS: New bounds for the three-point rule involving the Riemann-Stieltjes integral. In Advances in Statistics, Combinatorics and Related Areas. World Scientific, River Edge; 2002:53–62.

3. Cheung W-S, Dragomir SS: Two Ostrowski type inequalities for the Stieltjes integral of monotonic functions. Bull. Aust. Math. Soc. 2007, 75(2):299–311. 10.1017/S0004972700039228

4. Barnett NS, Cheung W-S, Dragomir SS, Sofo A: Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators. RGMIA Res. Rep. Collect. 2006., 9: Article ID 9. http://rgmia.org/v9n4.php

5. Cerone P, Dragomir SS: Approximation of the Stieltjes integral and applications in numerical integration. Appl. Math. 2006, 51(1):37–47. 10.1007/s10492-006-0003-0

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