Hadamard type local fractional integral inequalities for generalized harmonically convex functions and applications. (9th March 2020)

• Record Type: Journal Article
• Authors: Sun, Wenbing; Liu, Qiong
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 9(2020)
• Page Start: 5776
• Page End: 5787
• Publication Date: 2020-03-09
• Subjects: Generalized harmonically convex function -- Hadamard's inequality -- Local fractional integral -- Parameter -- Yang's fractal set; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6319
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we establish a local fractional integral identity with a parameter λ on Yang's fractal sets. Using this identity, by generalized power mean inequality and generalized Hölder inequality, two Hermite‐Hadamard type local fractional integral inequalities for generalized harmonically convex functions are established. By giving some special values to the parameter, some inequalities with specific form can be obtained. Some applications to generalized special means are given.