期刊
FRACTAL AND FRACTIONAL
卷 5, 期 4, 页码 -出版社
MDPI
DOI: 10.3390/fractalfract5040252
关键词
symmetry; weighted fractional operators; harmonically convex functions; Hermite-Hadamard-Fejer type inequality
In this paper, a new version of Hermite-Hadamard-Fejer type inequality for harmonically convex functions in the form of weighted fractional integral is established. Integral identities and weighted midpoint fractional Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions have been obtained by involving positive weighted symmetric functions. These inequalities generalize several well-known inequalities, including classical and Riemann-Liouville fractional integral inequalities.
In this paper, we establish a new version of Hermite-Hadamard-Fejer type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejer type integral inequalities for harmonically convex functions by involving a positive weighted symmetric functions have been obtained. As shown, all of the resulting inequalities generalize several well-known inequalities, including classical and Riemann-Liouville fractional integral inequalities.
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