Fractional Integral Inequalities of Hermite–Hadamard type for Exponentially Co-ordinated Convex Functions

Year 2026, Volume: 18 Issue: 1, 95 - 110, 23.02.2026

Ali Yılmaz , Abdullah Akkurt , Huseyin Yıldırım

https://doi.org/10.47000/tjmcs.1791073

https://izlik.org/JA64JT49JB

Abstract

In this study, we introduce a novel definition of convexity in the context of exponential coordinates. Utilizing this new framework, we establish a series of fractional Hermite-Hadamard type inequalities. Furthermore, we provide several remarks to elucidate the connections between our findings and previously established results in the literature.

Keywords

Convex functions , co-ordinated convex mapping , Hermite-Hadamard inequality , fractional integral

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