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Open two-point Newton-Cotes integral inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

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Title: Open two-point Newton-Cotes integral inequalities for differentiable convex functions via Riemann-Liouville fractional integrals

Authors: Hamida Ayed, Badreddine Meftah

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2023

Volume: 19

Issue: 2

Language: English

Keywords: Newton-Cotesintegral inequalitiesconvex functionsRiemann-Liouville fractional integrals

Categories
Convex Functions (12) Integral Inequalities (1) Newton-Cotes Formula (1) Mathematical Analysis (43) Fractional Calculus (72)

Abstract

In this paper, some open two-point Newton-Cotes type integral inequalities for functions whose first derivatives are convex via Riemann-Liouville fractional integrals are established. Our finding generalize some already known results. In order to illustrate the efficiency of our main results, some applications are given.

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