An extensive study on parameterized inequalities for conformable fractional integrals

Hezenci F., Budak H.

ANALYSIS AND MATHEMATICAL PHYSICS, cilt.13, sa.5, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s13324-023-00846-2
  • Dergi Adı: ANALYSIS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

This paper proves an equality for the case of differentiable convex functions including the conformable fractional integrals. By using this equality, we establish several parameterized inequalities with the help of the conformable fractional integrals. Several inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, we present previously achieved results and new results by using special cases of the obtained theorems.