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A Hermite–Hadamard type inequality with applications to the estimation of moments of continuous random variables

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  • Gavrea, Bogdan

Abstract

In this paper we present a Hadamard-type inequality for quasi-convex functions with applications to the estimation of moments of continuous random variables with compact support. The main result obtained here generalizes the inequality obtained by Alomari et al. (2010).

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  • Gavrea, Bogdan, 2015. "A Hermite–Hadamard type inequality with applications to the estimation of moments of continuous random variables," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 92-98.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:92-98
    DOI: 10.1016/j.amc.2014.12.129
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    References listed on IDEAS

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    1. Hwang, Dah-Yan, 2014. "Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 68-75.
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    Cited by:

    1. Abdullah Ali H. Ahmadini & Waqar Afzal & Mujahid Abbas & Elkhateeb S. Aly, 2024. "Weighted Fejér, Hermite–Hadamard, and Trapezium-Type Inequalities for ( h 1 , h 2 ) –Godunova–Levin Preinvex Function with Applications and Two Open Problems," Mathematics, MDPI, vol. 12(3), pages 1-28, January.

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