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March 16, 2026Journal of MathematicsOpen Access

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using ( α , m)‐Convex Mappings

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Authors

SFShama FirdousWNWaqas NazeerWAWaqar Afzal

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Overview

This article develops new inequalities for convex functions, suggesting broader applications in analysis.

Key Points

  • The article aims to develop new variations and structural refinements of Jensen and Hermite–Hadamard inequalities.
  • Developed inequalities for (α, m)-convex functions
  • Established new product forms of Hermite–Hadamard inequalities
  • Introduced variants of Jensen-type inequalities and validated them using mathematical induction
  • New inequalities for (α, m)-convex functions were derived
  • Sharpness of results illustrated with nontrivial examples
  • Previous inequalities shown as special cases of the new findings

Cite This Study

Firdous et al. (2026) studied this question.

synapsesocial.com/papers/69b79e538166e15b153ab730https://doi.org/10.1155/jom/8858239
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