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Refinements of Hermite-Hadamard Inequalities for Functions When a Power of the Absolute Value of the Second Derivative Is P -Convex

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  • A. Barani
  • S. Barani
  • S. S. Dragomir

Abstract

We extend some estimates of the right-hand side of Hermite-Hadamard-type inequalities for functions whose second derivatives absolute values are 𠑃 -convex. Applications to some special means are considered.

Suggested Citation

  • A. Barani & S. Barani & S. S. Dragomir, 2012. "Refinements of Hermite-Hadamard Inequalities for Functions When a Power of the Absolute Value of the Second Derivative Is P -Convex," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, July.
    • Handle: RePEc:hin:jnljam:615737
    DOI: 10.1155/2012/615737
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    Cited by:

    1. Yu, Shuhong & Zhou, Yunxiu & Du, Tingsong, 2022. "Certain midpoint-type integral inequalities involving twice differentiable generalized convex mappings and applications in fractal domain," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Hasan Kara & Hüseyin Budak & Fatih Hezenci, 2022. "New Extensions of the Parameterized Inequalities Based on Riemann–Liouville Fractional Integrals," Mathematics, MDPI, vol. 10(18), pages 1-12, September.

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