Inequalities involving general fractional integrals of p-convex functions

Işik İ. Y., TINAZTEPE G., Kemal S., ADİLOV G.

Turkish Journal of Mathematics, vol.47, no.7, pp.2028-2042, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 7
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3479
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2028-2042
  • Keywords: generalized fractional integral, Hermite-Hadamard inequality, p-Convexity
  • Akdeniz University Affiliated: Yes

Abstract

The Hermite-Hadamard type inequalities involving fractional integral operations for p-convex functions with respect to another function are studied. Then, the inequalities via Riemann-Liouville and Hadamard fractional integrals are presented specially. Using the obtained results, some inequality relations among special functions including beta and incomplete beta functions, gamma and incomplete gamma functions, and hypergeometric functions are presented.