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

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

FRACTALS (fractals), 2021, vol. 29, issue 01, 1-12

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.

Keywords: Ostrowski’s Inequality; Generalized h-Convex Function; Local Fractional Integral; Generalized Moment (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:01:n:s0218348x21500067

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DOI: 10.1142/S0218348X21500067

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