On new versions of Hermite-Hadamard-type inequalities based on tempered fractional integrals

Budak H., Hezenci F., Tunc T., Kara H.

FILOMAT, vol.38, no.7, pp.2361-2379, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 7
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2407361b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2361-2379
  • Kocaeli University Affiliated: No

Abstract

This research is on the new versions of Hermite-Hadamard type inequalities. These inequalities established by means of convex mappings include tempered fractional integral operators. Obtaining these inequalities, well-known Holder inequality and power mean inequality are also utilized. The resulting Hermite-Hadamard type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals. What's more, new results are obtained through special choices.