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June 1, 2026FilomatOpen Access

Hybrid harmonic integral inequalities via multiplicative calculus with applications

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Authors

SBSaad ButtMUMuhammad UmarDKDawood Khan

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Overview

Establishes harmonic integral inequalities using Caputo-Hybrid operators, suggesting new applications in mathematical analysis.

Key Points

  • The objective is to develop Hermite-Hadamard inequalities for multiplicative harmonically convex functions using proportional Caputo-Hybrid operators.
  • Utilized proportional Caputo-Hybrid operators to frame inequalities for harmonic convex functions.
  • Examined different cases by varying the parameter α to derive specific inequalities.
  • Provided graphical examples to illustrate the findings.
  • Established new Hermite-Hadamard inequalities based on different values of parameter α.
  • Identified novel multiplicative fractional order recurrence relations with applications to special functions.
  • Outlined potential extensions to interval calculus for enhanced applications in uncertainty analysis.

Cite This Study

Butt et al. (2025) studied this question.

synapsesocial.com/papers/6a1d221f02fbce9130637eebhttps://doi.org/10.2298/fil2535725b
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