DOI: https://doi.org/10.14710/jfma.v0i0.26475

Corrected Trapezoidal Rule For The Riemann-Stieltjes Integral

*Rike Marjulisa orcid  -  Department of Mathematics, University of Riau, Pekanbaru, Indonesia, Indonesia
M Imran  -  Department of Mathematics, University of Riau, Pekanbaru, Indonesia, Indonesia
Ayunda Putri  -  Department of Mathematics, University of Riau, Pekanbaru, Indonesia, Indonesia

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Abstract
This study investigates the derivation of a corrected trapezoidal rule for approximating the Riemann-Stieltjes integral. The corrected trapezoidal rule is derived by approximating certain monomial functions to obtain optimal method coefficients.  The proposed method has an accuracy of order three. Furthermore, an error analysis is conducted to assess the accuracy of the obtained approximation. In the final section, numerical computations are presented to compare the performance of the proposed method with existing methods. The results demonstrate that the proposed method produces smaller errors compared to previously developed approaches.

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Keywords: corrected trapezoidal rule, Riemann-Stieltjes integral; error term

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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