Hermite-Hadamard Like Inequalities for Exponentially Subadditive Functions via Fractional Integrals

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Abbas S., Ali M. A., Hanif A., Budak H.

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, vol.17, no.1, pp.43-52, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.47836/mjms.17.1.04
  • Journal Name: MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.43-52
  • Kocaeli University Affiliated: No

Abstract

In this work, through the Riemann-Liouville fractional integrals, we give Hermite-Hadamard type inequalities for exponentially sub-additive functions. For the product of exponentially sub-additive functions, we present fractional integral inequalities. It is also shown that the results proved here are the refinements and extensions of several existing results in the field of Hermite-Hadamard like inequalities.