Conformable Fractional Estimates for Weighted Corrected Euler-Maclaurin-Type Inequalities Involving Convex Functions

Abstract

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.

Keywords

• Conformable fractional integrals
• corrected-Euler-Maclaurin-type inequalities
• convex functions

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