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Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

Author

Listed:
  • Shanhe Wu

    (Department of Mathematics, Longyan University, Longyan 364012, China)

  • Muhammad Adil Khan

    (Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan)

  • Hidayat Ullah Haleemzai

    (Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan)

Abstract

The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder. Our results improve several results obtained in earlier literatures. As an application, the result is used for deriving a new fractional inequality.

Suggested Citation

  • Shanhe Wu & Muhammad Adil Khan & Hidayat Ullah Haleemzai, 2019. "Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder," Mathematics, MDPI, vol. 7(8), pages 1-7, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:8:p:663-:d:251372
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