Midpoint-type inequalities via twice-differentiable functions on tempered fractional integrals

Creative Commons License

Hezenci F., Budak H.

JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2023, no.1, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2023 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.1186/s13660-023-03064-3
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Open Archive Collection: AVESIS Open Access Collection
  • Kocaeli University Affiliated: No

Abstract

In this paper, we obtain an equality involving tempered fractional integrals for twice-differentiable functions. By using this equality, we establish several left Hermite-Hadamard-type inequalities for the case of tempered fractional integrals. Moreover, we derive our results by using special cases of obtained theorems.