FRACTIONAL TRAPEZOID AND NEWTON TYPE INEQUALITIES FOR DIFFERENTIABLE <i>S</i>-CONVEX FUNCTIONS

Hezenci F., Budak H., Ali M. A.

HONAM MATHEMATICAL JOURNAL, sa.1, ss.160-183, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.5831/hmj.2023.45.1.160
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.160-183
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In the present paper, we prove that our main inequality re-duces to some trapezoid and Newton type inequalities for differentiable s-convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the help of special cases of our main results, we also present some new and previously obtained trapezoid and Newton type inequalities.