Turkish Journal of Science
Journal license

Journal

Turkish Journal of Science


Volume
& Issue

Volume 10, Issue 3


Published
on

December 21, 2025


Pages

159-167


DOI

Article

Integral Inequalities for n-Fractional Polynomial Convex Functions via AB-Fractional Integral Operators

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Authors

Ali KARAOGLAN Affiliation:
Department of Mathematics, Faculty of Sciences And Arts, Ordu University, Ordu, Tu¨rkiye
and Erhan SET Affiliation:
Department of Mathematics, Faculty of Sciences And Arts, Ordu University, Ordu, Tu¨rkiye


Abstract

In recent years, many new equations involving fractional integral operators have been obtained and numerous inequalities have been proven using these equations. In this paper, we obtained some integral inequalities via Atangana-Baleanu fractional integral operators for n-fractional polynomial convex functions using the identity by proved Set et al. [10]. Some of the inequalities proved are reduced to existing inequalities in the literature for some special values of the parameters. And also, the inequalities obtained produce new results for some special values of the parameters.


Keywords

Convex function, n-fractional polynomial convex functions, Ho¨lder inequality, Young inequality, power mean inequality.


Citation

Karaoglan, A. & Set, E. (2025). Integral inequalities for n-fractional polynomial convex functions via ab-fractional integral operators. Turkish Journal of Science, 10(3), 159–167. https://doi.org/10.66833/TJOS-2025-0015

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