| Title: |
A Theoretical Analysis of Simpson’s 1/3-Type Scheme for the Riemann-Stieltjes Integral Based on Geometric Mean Derivative |
| Authors: |
MUHAMMAD MUJTABA SHAIKH; KASHIF MEMON; SARA MAHESAR; OWAIS ALI RAJPUT |
| Source: |
Sindh University Research Journal - SURJ (Science Series); Vol. 57 No. 1 (2025): Sindh University Research Journal (Science Series) SURJ; 1-13 ; 2791-0547 ; 1813-1743 |
| Publisher Information: |
Faculty of Natural Science, University of Sindh Jamshoro |
| Publication Year: |
2025 |
| Collection: |
Sindh University Journals Online (SUJO) |
| Subject Terms: |
Quadrature rule; Geometric mean; Riemann-Stieltjes; Error terms. Local error; Global error |
| Description: |
This research aims to discuss the theoretical analysis of a three-point numerical scheme used to approximate a Riemann-Stieltjes integral (RSI) by incorporating derivative in each strip at the geometric mean of the ending points of the interval of integration. The suggested scheme is discussed in terms of its basic and composite versions for the RSI. The error analysis of the scheme is also presented in theorems. Additionally, the reduction of the suggested scheme is discussed for the Riemann integral by using g(t) = t. |
| Document Type: |
article in journal/newspaper |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
https://sujo.usindh.edu.pk/index.php/SURJ/article/view/7711/4884; https://sujo.usindh.edu.pk/index.php/SURJ/article/view/7711 |
| DOI: |
10.26692/surjss.v57i1.7711 |
| Availability: |
https://sujo.usindh.edu.pk/index.php/SURJ/article/view/7711; https://doi.org/10.26692/surjss.v57i1.7711 |
| Rights: |
https://creativecommons.org/licenses/by-nc/4.0 |
| Accession Number: |
edsbas.BAF8B982 |
| Database: |
BASE |