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

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.

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Publication Details

Journal
Turkish Journal of Mathematics and Computer Science
Published
2026-02-23
DOI
https://doi.org/10.47000/tjmcs.1791073
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

Abdullah Akkurt, Huseyin Yıldırım, Ali Yılmaz
Turkish Journal of Mathematics and Computer Science
Mathematical Inequalities and Applications
article

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

Abdullah Akkurt, Huseyin Yıldırım, Ali Yılmaz
article en

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.

Turkish Journal of Mathematics and Computer ScienceVol. 18(1)
Kahramanmaraş Sütçü İmam University (TR)
Reduced inequalities
Openalex Percentile: Top 43%
Mathematical Inequalities and Applications
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