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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JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2013-09-30

Issue

Vol. 2 No. 2 (2013)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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

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