Fejér type inequalities for harmonically convex functions

Muhammad Amer Latif; Muhammad Amer Latif

doi:10.3934/math.2022835

AIMS Mathematics

2022, Volume 7, Issue 8: 15234-15257. doi: 10.3934/math.2022835

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Research article

Fejér type inequalities for harmonically convex functions

Muhammad Amer Latif ^,

Department of Basic Sciences, Deanship of Preparatory Year, King Faisal University, Hofuf 31982, Al-Hasa, Saudi Arabia

Received: 07 April 2022 Revised: 08 June 2022 Accepted: 09 June 2022 Published: 16 June 2022
MSC : 26D15, 26D20, 26D07

In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over $ \left[ 0, 1\right] $. Some Fejér-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.
- Hermite-Hadamard inequality,
- convex function,
- harmonic convex function,
- Fejér inequality
Citation: Muhammad Amer Latif. Fejér type inequalities for harmonically convex functions[J]. AIMS Mathematics, 2022, 7(8): 15234-15257. doi: 10.3934/math.2022835

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Abstract

In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over $ \left[ 0, 1\right] $. Some Fejér-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.

References

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