Some novel estimations of hadamard type inequalities for different kinds of convex functions via tempered fractional integral operator


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Gül E., Yalçin A.

Filomat, vol.38, no.10, pp.3683-3690, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 38 Issue: 10
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2410683g
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3683-3690
  • Keywords: Hermite-Hadamard type inequalities, Integral inequalities, s−convex functions, Tempered fractional integral operator
  • Open Archive Collection: AVESIS Open Access Collection
  • Yıldız Technical University Affiliated: Yes

Abstract

In this article, Hermite-Hadamard type inequalities for (h, m)−convex and s−convex functions are established by using tempered fractional integral operators. Also, some integral inequalities related to the right and left sides of the Hermite-Hadamard inequality via tempered fractional integrals are proved.