Journal of Mathematics (Jan 2020)

Inequalities for Estimations of Integrals Related to Higher-Order Strongly n-Polynomial Preinvex Functions

  • Yongping Deng,
  • Muhammad Uzair Awan,
  • Sadia Talib,
  • Muhammad Aslam Noor,
  • Khalida Inayat Noor,
  • Pshtiwan Othman Mohammed,
  • Shanhe Wu

DOI
https://doi.org/10.1155/2020/8841356
Journal volume & issue
Vol. 2020

Abstract

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In this paper, we establish an integral identity associated with m-times differentiable functions. The result is then used to derive some integral estimations for higher-order strongly n-polynomial preinvex functions. Finally, we apply the obtained inequalities to construct new inequalities involving special means.