4.6 Article

Fejer type inequalities for harmonically convex functions

期刊

AIMS MATHEMATICS
卷 7, 期 8, 页码 15234-15257

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022835

关键词

Hermite-Hadamard inequality; convex function; harmonic convex function; Fejer inequality

资金

  1. King Faisal University [NA000177, GRANT931]

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In this study, mappings related to Fejer-type inequalities for harmonically convex functions are defined over [0, 1]. These mappings are used to prove Fejer-type inequalities for harmonically convex functions and obtain refinements of some known results.
In this study, some mappings related to the Fejer-type inequalities for harmonically convex functions are defined over [0, 1]. Some Fejer-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are considered and consequently, refinements are obtained of some known results.

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