Research Article
An Error Efficient Triplet Quadrature Rule
- By Debakanta Sethy, Shubhankar Palai, Dwiti Krushna Behera - 15 Jun 2026
- Current Research in Interdisciplinary Studies, Volume: 5, Issue: 5-6, Pages: 1 - 6
- https://doi.org/10.58614/cris561
- Received: 01.05.2026; Accepted: 10.06.2026; Published: 15.06.2026
Abstract
An anti-Simpson rule has been constructed by using the concept of D. P. Laurie. Furthermore, using the concept of generalized quadrature rule, a triplet quadrature rule GQ( f ) of higher precision has been constructed successfully. The constructed anti-Simpson rule, Simpson’s 1/3rd rule and Gaussian quadrature rules of lower precision has been used to formulate the new rule GQ( f ). The efficiency of new quadrature rule is shown theoretically in error analysis. The numerical supremacy of the constructed rule over its base rules has been reflected in table and figures by numerically evaluating some test integrals.
Authors Affiliation:
Debakanta Sethy (ORCID): Department of Mathematics, At Ravenshaw University, Cuttack, Odisha, India.
Shubhankar Palai (ORCID): Department of Mathematics, At Ravenshaw University, Cuttack, Odisha, India.
Dwiti Krushna Behera (ORCID)*: Department of Mathematics, At Ravenshaw University, Cuttack, Odisha, India.
How To Cite:
D. Sethy, S. Palai and D.K. Behera. An Error Efficient Triplet Quadrature Rule. Current Research in Interdisciplinary Studies, 5(5-6):1–6, 2026. https://doi.org/10.58614/cris561