A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral

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K. MEMON
M. M. SHAIKH
M. S. CHANDIO
A. W. SHAIKH

Abstract

In this researchpaper, a new efficient midpoint derivative-based quadrature scheme of trapezoid-type is developed for the approximation of the Riemann-Stieltjes integral. The proposed quadrature scheme is an efficient modification of Zhao etal.midpoint derivative-based schemefor the Riemann-Stieltjes integral. The performance of proposed scheme, Zhao etal. scheme and the original Trapezoid scheme for the Riemann-Stieltjesintegral are comparedusing MATLAB. Ithas been noticed that the numerical error is smallerusing proposed schemeincomparisontootherschemes.

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How to Cite
K. MEMON, M. M. SHAIKH, M. S. CHANDIO, & A. W. SHAIKH. (2020). A Modified Derivative-BasedScheme for the Riemann-Stieltjes Integral. Sindh University Research Journal - SURJ (Science Series), 52(1). Retrieved from https://sujo.usindh.edu.pk/index.php/SURJ/article/view/588
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