Tempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functions

Hezenci F., Budak H.

FILOMAT, vol.38, no.12, pp.4021-4034, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 12
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2412021h
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4021-4034
  • Kocaeli University Affiliated: No

Abstract

The paper introduces a novel approach to examine Hermite-Hadamard-type inequalities taking advantage of tempered fractional operators. These inequalities are proved by means of twice-differentiable convex functions involving tempered fractional integral operators. Obtained Hermite-Hadamard-type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals.