Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals

In the paper, the authors establish some new Hermite-Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite-Hadamard inequality for harmonically convex functions via generalized fractional integrals without using the harmonic convexity property for the functions. The results offered here are the refinements of the existing results for harmonically convex functions.Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, 11971241]; Philosophy and Social Sciences of Educational Commission of Hubei Province of China [20Y109]The work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485, 11971241) and Philosophy and Social Sciences of Educational Commission of Hubei Province of China (Grant No. 20Y109).WOS:0006587519000012-s2.0-8510753908