Mercer–Trapezoid Rule for the Riemann–Stieltjes Integral with Applications

Mohammad W. Alomari; Sever S. Dragomir

doi:10.24297/jam.v2i2.6545

Mercer–Trapezoid Rule for the Riemann–Stieltjes Integral with Applications

Authors

Mohammad W. Alomari Department of Mathematics, Faculty of Science, Jerash University, 26150 Jerash, Jordan
Sever S. Dragomir School of Computational & Applied Mathematics, University of the Witwatersrand

DOI:

https://doi.org/10.24297/jam.v2i2.6545

Keywords:

Trapezoid inequality, Functions of bounded variation, Riemann–Stieltjes

Abstract

In this paper several new error bounds for the Mercer - Trapezoid quadrature rule for the Riemann-Stieltjes integral under various assumptions are proved. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.

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Published

2013-09-30

How to Cite

Alomari, M. W., & Dragomir, S. S. (2013). Mercer–Trapezoid Rule for the Riemann–Stieltjes Integral with Applications. JOURNAL OF ADVANCES IN MATHEMATICS, 2(2), 67–85. https://doi.org/10.24297/jam.v2i2.6545