The Properties of Harmonically cr - h -Convex Function and Its Applications

Wei Liu, Fangfang Shi, Guoju Ye and Dafang Zhao
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Wei Liu: College of Science, Hohai University, Nanjing 210098, China
Fangfang Shi: College of Science, Hohai University, Nanjing 210098, China
Guoju Ye: College of Science, Hohai University, Nanjing 210098, China
Dafang Zhao: School of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China

Mathematics, 2022, vol. 10, issue 12, 1-15

Abstract: In this paper, the definition of the harmonically c r - h -convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically c r - h -convex functions are also established. In addition, some numerical examples are given to verify the accuracy of the results.

Keywords: harmonically cr - h -convex; Jensen type inequality; Hermite–Hadamard-type inequalities; Fejér-type inequalities; interval-valued functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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