konuralp j. math. Konuralp Journal of Mathematics 2147-625X Mehmet Zeki SARIKAYA Approximation Theory and Asymptotic Methods Yaklaşım Teorisi ve Asimptotik Yöntemler Conformable Fractional Estimates for Weighted Corrected Euler-Maclaurin-Type Inequalities Involving Convex Functions https://orcid.org/0000-0003-0298-2872 Demir İzzettin DUZCE UNIVERSITY https://orcid.org/0009-0005-8670-6075 Üneş Esra DUZCE UNIVERSITY Çakal Tuğba DUZCE UNIVERSITY 04 30 2026 14 1 250 262 03 11 2026 04 28 2026 Copyright © 2013, Konuralp Journal of Mathematics 2013 Konuralp Journal of Mathematics

This study is devoted to deriving weighted corrected Euler-Maclaurin-type inequalities by utilizing conformable fractional integrals. We begin by proving a key integral identity involving a positive weight function, which acts as the analytical foundation for our main results. Building on this identity in the context of conformable fractional calculus, we establish generalized corrected Euler-Maclaurin-type inequalities valid for differentiable convex functions. Also, we develop numerical examples and graphical analyses to illustrate our theoretical findings. Our results broaden the scope of existing literature and underline the effectiveness of conformable fractional operators compared to traditional methods in specific scenarios.

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