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Some Properties and Inequalities for the h,s-Nonconvex Functions

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  • Chengli Wang
  • Muhammad Shoaib Saleem
  • Hamood Ur Rehman
  • Muhammad Imran
  • Yongqiang Fu

Abstract

The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of the Hermite–Hadamard inequality.

Suggested Citation

  • Chengli Wang & Muhammad Shoaib Saleem & Hamood Ur Rehman & Muhammad Imran & Yongqiang Fu, 2020. "Some Properties and Inequalities for the h,s-Nonconvex Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, June.
    • Handle: RePEc:hin:jjmath:5462769
    DOI: 10.1155/2020/5462769
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