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Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables

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  • Hwang, Dah-Yan

Abstract

Connected with the celebrated Hermite–Hadamard integral inequality, several new inequalities for differentiable convex, wright-convex and quasi-convex mapping are established. Applications of these results are considered in error estimates for weighted Midpoint integral formula and in deriving the inequalities involving higher moments of random variables.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:68-75
    DOI: 10.1016/j.amc.2014.01.050
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    Cited by:

    1. Bessem Samet, 2023. "Fejér-Type Inequalities for Some Classes of Differentiable Functions," Mathematics, MDPI, vol. 11(17), pages 1-13, September.
    2. Luo, Chunyan & Wang, Hao & Du, Tingsong, 2020. "Fejér–Hermite–Hadamard type inequalities involving generalized h-convexity on fractal sets and their applications," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    3. 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.

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