Some Euler-Maclaurin-Type Inequalities by Means of Tempered Fractional Integrals

Hezenci F., BUDAK H.

Journal of Nonlinear Modeling and Analysis, vol.6, no.4, pp.930-948, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 4
  • Publication Date: 2024
  • Doi Number: 10.12150/jnma.2024.930
  • Journal Name: Journal of Nonlinear Modeling and Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.930-948
  • Keywords: convex functions, Euler-Maclaurin-type inequality, quadrature formulae, tempered fractional integrals
  • Kocaeli University Affiliated: Yes

Abstract

This paper introduces an equality that is valid for tempered fractional integrals. By using this equality, we establish some Euler-Maclaurin-type inequalities for the case of differentiable convex functions involving tempered fractional integrals. Furthermore, our results are provided by using special cases of obtained theorems.