MMN-4713

A remark on midpoint-type inequalities for conformable fractional integrals

Fatih Hezenci; Hüseyin Budak;

Abstract

This paper proves an equality for the case of differentiable functions involving the conformable fractional integrals. By using this equality, we establish new midpoint-type inequalities via convex functions with the aid of the conformable fractional integrals. Some significant inequalities are obtained by taking advantage of the convexity, the H\"{o}% lder inequality, and the power mean inequality. Moreover, we give example using graph in order to show that our main results are correct. Furthermore, our results generalize known results from the literature by special choices.


Vol. 26 (2025), No. 2, pp. 851-866
DOI: https://doi.org/10.18514/MMN.2025.4713


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