Some remarks on parameterized inequalities involving conformable fractional operators

Unal C., Hezenci F., Budak H.

TURKISH JOURNAL OF MATHEMATICS, cilt.47, sa.2, ss.590-607, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3381
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.590-607
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we prove an identity for differentiable convex functions related to conformable fractional integrals. Moreover, some parameterized inequalities are established by using conformable fractional integrals. To be more precise, parameterized inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. Furthermore, previous and new results are presented by using special cases of the obtained theorems.