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

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

HONAM MATHEMATICAL JOURNAL, no.1, pp.160-183, 2023 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.5831/hmj.2023.45.1.160
• Journal Name: HONAM MATHEMATICAL JOURNAL
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.160-183
• Kocaeli University Affiliated: No

Abstract

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.