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LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS

Author

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  • WENBING SUN

    (School of Science, Shaoyang University, Shaoyang 422000, P. R. China)

Abstract

In this paper, we establish some local fractional Ostrowski-type integral inequalities for generalized h-convex functions on real linear fractal set Rγ(0 < γ ≤ 1). We present two examples to illustrate our main results. As applications, we establish some local fractional integral inequalities involving generalized moments of continuous random variables to estimate the bounds of generalized moments.

Suggested Citation

  • Wenbing Sun, 2021. "LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(01), pages 1-12, February.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500067
    DOI: 10.1142/S0218348X21500067
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    Cited by:

    1. Cheng, Qingjin & Luo, Chunyan, 2022. "Estimation of the parameterized integral inequalities involving generalized p-convex mappings on fractal sets and related applications," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Butt, Saad Ihsan & Khan, Ahmad, 2023. "New fractal–fractional parametric inequalities with applications," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Yu, Yuping & Liu, Jun & Du, Tingsong, 2022. "Certain error bounds on the parameterized integral inequalities in the sense of fractal sets," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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