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April 26, 2026Fractal and Fractional0 citationsOpen Access

On Uniformly δ-Geometric Convex Functions

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YSYamin SayyariHBHasan BarsamLCLoredana Ciurdariu

Key Points

  • The aim is to develop new inequalities and bounds related to uniformly δ-geometric convex functions.
  • Introduced new Jensen, Jensen–Mercer, and Hermite–Hadamard inequalities for uniformly δ-geometric convex functions.
  • Established limit bounds for Caputo–Fabrizio fractional integral operators in this context.
  • Provided examples and graphical representations to illustrate the results.
  • Demonstrated new inequalities that expand the existing understanding of uniformly δ-geometric convex functions.
  • Established limit bounds for fractional integrals that apply specifically to these functions.
  • Illustrated validity through examples, reinforcing the theoretical contributions.

Abstract

In this paper, we give some new Jensen, Jensen–Mercer, and Hermite–Hadamard inequalities for uniformly δ-geometric convex functions. In addition, some limit bounds for Caputo–Fabrizio fractional integral operators are established as an application in the case of uniformly δ-geometric convex functions. Some new examples and graphical representations are provided in order to illustrate the validity of our results.

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Cite This Study

Sayyari et al. (2026) studied this question.

synapsesocial.com/papers/69edacdb4a46254e215b48d3https://doi.org/10.3390/fractalfract10050289
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