分形集上的广义调和s-凸函数及Hadamard型不等式

Abstract

Abstract: The author gave the definition of generalized harmonically s-convex function on fractal sets ?^α(0<α≤1) of fractal real lines, established HermiteHadamard integral inequalities for generalized harmonically s-convex function and an identity for local fractional integral. Then some HermiteHadamard type local fractional integral inequalities for these classes of functions were obtained.

Key words: generalized harmonically s-convex function, HermiteHadamard type integral inequality, fractal set, local fractional integral

CLC Number:

O178

SUN Wenbing. Generalized Harmonically s-Convex Functions andHadamard Type Inequalities on Fractal Sets#br#[J].Journal of Jilin University Science Edition, 2018, 56(6): 1366-1372.

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Generalized Harmonically s-Convex Functions andHadamard Type Inequalities on Fractal Sets#br#

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