Article
Integral Inequalities for n-Fractional Polynomial Convex Functions via AB-Fractional Integral Operators
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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
A. Karaoglan and E. Set, “Integral inequalities for n-fractional polynomial convex functions via ab-fractional integral operators,” Turkish Journal of Science, vol. 10, no. 3, pp. 159–167, 2025, doi: 10.66833/TJOS-2025-0015.
Karaoglan A, Set E. Integral inequalities for n-fractional polynomial convex functions via ab-fractional integral operators. Turkish Journal of Science. 2025;10(3):159–167. doi:10.66833/TJOS-2025-0015.
Karaoglan, A. and Set, E. (2025), ‘Integral inequalities for n-fractional polynomial convex functions via ab-fractional integral operators’, Turkish Journal of Science, 10(3), pp. 159–167. Available at: https://doi.org/10.66833/TJOS-2025-0015.
Karaoglan, Ali, and Erhan Set. “Integral Inequalities for N-fractional Polynomial Convex Functions via Ab-fractional Integral Operators.” Turkish Journal of Science, vol. 10, no. 3, 2025, pp. 159–167. https://doi.org/10.66833/TJOS-2025-0015.
Karaoglan, Ali, and Erhan Set. “Integral Inequalities for N-fractional Polynomial Convex Functions via Ab-fractional Integral Operators.” Turkish Journal of Science 10, no. 3 (2025): 159–167. https://doi.org/10.66833/TJOS-2025-0015.
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Published by: Engineering Journals


