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Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity

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  • Muhammad Adil Khan
  • Saeed Anwar
  • Sadia Khalid
  • Zaid Mohammed Mohammed Mahdi Sayed

Abstract

By using the Jensen–Mercer inequality for strongly convex functions, we present Hermite–Hadamard–Mercer inequality for strongly convex functions. Furthermore, we also present some new Hermite‐Hadamard‐Mercer-type inequalities for differentiable functions whose derivatives in absolute value are convex.

Suggested Citation

  • Muhammad Adil Khan & Saeed Anwar & Sadia Khalid & Zaid Mohammed Mohammed Mahdi Sayed, 2021. "Inequalities of the Type Hermite–Hadamard–Jensen–Mercer for Strong Convexity," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, November.
    • Handle: RePEc:hin:jnlmpe:5386488
    DOI: 10.1155/2021/5386488
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