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Hermite-Hadamard- and Jensen-Type Inequalities for Interval h1,h2 Nonconvex Function

Author

Listed:
  • Hongxin Bai
  • Muhammad Shoaib Saleem
  • Waqas Nazeer
  • Muhammad Sajid Zahoor
  • Taiyin Zhao
  • Viliam Makis

Abstract

In the present study, we will introduce the definition of interval h1,h2 nonconvex function. We will investigate some properties of interval h1,h2 nonconvex function. Moreover, we will develop Hermite-Hadamard- and Jensen-type inequalities for interval h1,h2 nonconvex function.

Suggested Citation

  • Hongxin Bai & Muhammad Shoaib Saleem & Waqas Nazeer & Muhammad Sajid Zahoor & Taiyin Zhao & Viliam Makis, 2020. "Hermite-Hadamard- and Jensen-Type Inequalities for Interval h1,h2 Nonconvex Function," Journal of Mathematics, Hindawi, vol. 2020, pages 1-6, April.
    • Handle: RePEc:hin:jjmath:3945384
    DOI: 10.1155/2020/3945384
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    Cited by:

    1. Muhammad Bilal Khan & Ali Althobaiti & Cheng-Chi Lee & Mohamed S. Soliman & Chun-Ta Li, 2023. "Some New Properties of Convex Fuzzy-Number-Valued Mappings on Coordinates Using Up and Down Fuzzy Relations and Related Inequalities," Mathematics, MDPI, vol. 11(13), pages 1-23, June.
    2. Waqar Afzal & Alina Alb Lupaş & Khurram Shabbir, 2022. "Hermite–Hadamard and Jensen-Type Inequalities for Harmonical ( h 1 , h 2 )-Godunova–Levin Interval-Valued Functions," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
    3. Muhammad Bilal Khan & Gustavo Santos-García & Hatim Ghazi Zaini & Savin Treanță & Mohamed S. Soliman, 2022. "Some New Concepts Related to Integral Operators and Inequalities on Coordinates in Fuzzy Fractional Calculus," Mathematics, MDPI, vol. 10(4), pages 1-26, February.

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