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February 25, 2026Turkish Journal of Mathematics and Computer Science0 citationsOpen Access

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

AYAli YılmazAAAbdullah AkkurtHYHuseyin Yıldırım

Key Points

  • To introduce a new definition of convexity and derive fractional Hermite-Hadamard type inequalities.
  • Introduced a novel definition of convexity in exponential coordinates.
  • Established fractional Hermite-Hadamard type inequalities based on this framework.
  • Analyzed implications of findings in relation to existing literature.
  • Demonstrated new inequalities that extend traditional results.
  • Highlighted connections between new findings and established mathematical theories.

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.

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Cite This Study

Yılmaz et al. (2026) studied this question.

synapsesocial.com/papers/699e912ef5123be5ed04e7cehttps://doi.org/10.47000/tjmcs.1791073
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Hermite-Hadamard-Type Inequalities for Co-ordinated Convex Mappings via Generalized Fractional Integrals2026
  2. 2New Version of Fractional Pachpatte-Type Integral Inequalities via Coordinated ℏ-Convexity via Left and Right Order Relation2024 · 5 citations
  3. 3Further Hermite–Hadamard-Type Inequalities for Fractional Integrals with Exponential Kernels2024 · 15 citations
  4. 4Hermite-Hadamard inequalities for exponential convexity classes with applications2025 · 2 citations
  5. 5Some Generalized Fractional Hermite-Hadamard-Type Inequalities for m−Convex Functions2025