Novel generalized tempered fractional integral inequalities for convexity property and applications

Kashuri A., Munir A., Budak H., Hezenci F.

MATHEMATICA SLOVACA, cilt.75, sa.1, ss.113-128, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 75 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1515/ms-2025-0009
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.113-128
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

Inequalities involving fractional operators have also been an active area of research. These inequalities play a crucial role in establishing bounds, estimates, and stability conditions for solutions to fractional integrals. In this paper, firstly we established two new identities for the case of differentiable convex functions using generalized tempered fractional integral operators. By utilizing these identities, some novel inequalities like Simpson-type, Bullen-type, and trapezoidal-type are proved for differentiable s-convex functions. Additionally, from the obtained results, several special cases of the known results for different choices of parameters are recaptured. Finally, some applications to q-digamma and modified Bessel functions are given.