Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities
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Authors
Wenbing Sun
- School of Science, Shaoyang University, Shaoyang 422000, Hunan, P. R. China.
Abstract
In this paper, the author introduced the concept of generalized harmonically convex function on fractal sets \(\mathbb{R}^{\alpha}(0<\alpha\leq1)\) of real line numbers and established generalized Hermite-Hadamard's inequalities for generalized harmonically convex function. Then, by creating a local fractional integral identity, obtained some Hermite-Hadamard type inequalities of these classes of functions.
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ISRP Style
Wenbing Sun, Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 11, 5869--5880
AMA Style
Sun Wenbing, Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities. J. Nonlinear Sci. Appl. (2017); 10(11):5869--5880
Chicago/Turabian Style
Sun, Wenbing. "Generalized harmonically convex functions on fractal sets and related Hermite-Hadamard type inequalities." Journal of Nonlinear Sciences and Applications, 10, no. 11 (2017): 5869--5880
Keywords
- Generalized harmonically convex function
- Hermite-Hadamard type inequality
- fractal space
- local fractional integral
MSC
References
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