PERTURBED FRACTIONAL NEWTON-TYPE INEQUALITIES BY TWICE DIFFERENTIABLE FUNCTIONS

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Copy For Citation

Hezenci F., Kara H., Budak H.

HONAM MATHEMATICAL JOURNAL, no.2, pp.285-299, 2023 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.5831/hmj.2023.45.2.285
• Journal Name: HONAM MATHEMATICAL JOURNAL
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.285-299
• Kocaeli University Affiliated: No

Abstract

In the present paper, we establish some perturbed Newton -type inequalities in the case of twice differentiable convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the aid of special cases of our main results, we also give some previously obtained Newton-type inequalities.