Inequalities involving general fractional integrals of p-convex functions

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

Turkish Journal of Mathematics, cilt.47, sa.7, ss.2028-2042, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3479
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2028-2042
  • Anahtar Kelimeler: generalized fractional integral, Hermite-Hadamard inequality, p-Convexity
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.