Some weighted Simpson type inequalities for differentiable s–convex functions and their applications: Some weighted Simpson type inequalities

Artion Kashuri; Badreddine  Meftah; Pshtiwan Othman  Mohammed

doi:10.48185/jfcns.v1i1.150

Authors

Artion Kashuri
artionkashuri@gmail.com
Department of Mathematics Faculty of Technical Science University "Ismail Qemali" Vlora, ALBANIA
Badreddine Meftah Laboratoire des telecommunications, Facultedes Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria
Pshtiwan Othman Mohammed Department of Mathematics, College of Education, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq

Keywords:

Simpson inequality, weighted function, s-convex functions, Holder inequality, weighted Simpson quadrature formula

Abstract

In this study, by using a new identity we establish some new Simpson type inequalities for differentiables–convex functions in the second sense. Various special cases have been studied in details. Also, in order to illustrate the efficient of our main results, some applications to special means and weighted Simpson quadrature formula are given. The obtained results generalize and refine certain known results. At the end, a brief conclusion is given as well.

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Some weighted Simpson type inequalities for differentiable s–convex functions and their applications