Integral inequalities for generalized harmonically quasi-convex functions on fractal sets

doi:10.3969/j.issn.1000-5641.2019.04.007

Abstract

Abstract: In this paper, the author introduces the concept of generalized harmonically quasi-convex functions on fractal sets R^α(0 < α ≤ 1) of real line numbers and establishes generalized Hermite-Hadamard and Simpson type inequalities for generalized harmonically quasi-convex functions. Some applications for α-type special means of real line numbers are given.

Key words: generalized harmonically quasi-convex function, Hermite-Hadamard type inequalities, Simpson type inequalities, fractal sets, local fractional integral

CLC Number:

O178

SUN Wen-bing. Integral inequalities for generalized harmonically quasi-convex functions on fractal sets[J]. Journal of East China Normal University(Natural Sc, 2019, 2019(4): 62-71.

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