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Hermite-Hadamard type integral inequalities for multidimensional general h-harmonic preinvex stochastic processes

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  • Nidhi Sharma
  • Rohan Mishra
  • Abdelouahed Hamdi

Abstract

In this paper, we introduce a new concept of preinvex functions which is called general h-harmonic preinvex for real-valued stochastic processes. Further, we define the multidimensional general h-harmonic preinvex stochastic processes. We prove the Hermite-Hadamard inequality and obtain some important results for these processes. Some previous results are special cases of the results obtained in this paper.

Suggested Citation

  • Nidhi Sharma & Rohan Mishra & Abdelouahed Hamdi, 2022. "Hermite-Hadamard type integral inequalities for multidimensional general h-harmonic preinvex stochastic processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(19), pages 6719-6740, October.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:19:p:6719-6740
    DOI: 10.1080/03610926.2020.1865403
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    Cited by:

    1. Yahya Almalki & Waqar Afzal, 2023. "Some New Estimates of Hermite–Hadamard Inequalities for Harmonical cr - h -Convex Functions via Generalized Fractional Integral Operator on Set-Valued Mappings," Mathematics, MDPI, vol. 11(19), pages 1-21, September.

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