NEW APPROACHES FOR m-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS WITH STRONG KERNELS

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Ardıç M. A., Kavurmacı Önalan H., Akdemir A. O., Nguyen A. T.

MISKOLC MATHEMATICAL NOTES, vol.24, no. 3, pp.1145-1160, 2023 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 24 Issue: 3
• Publication Date: 2023
• Doi Number: 10.18514/mmn.2023.410
• Journal Name: MISKOLC MATHEMATICAL NOTES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
• Page Numbers: pp.1145-1160
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

We have established this paper on m􀀀convex functions, which can be expressed as

a general form of the convex function concept. First of all, some inequalities of Hadamard

type are proved with fairly simple conditions. Next, an integral identity containing Atangana-

Baleanu fractional integral operators is obtained to prove new inequalities for differentiable mconvex

functions. Using this identity, various properties of m􀀀convex functions and classical

inequalities, some new integral inequalities have been proved.