journal article
Open Access
Jan 03, 2022
Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications
Abstract
AbstractIn this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained. Moreover, we establish some generalized Jensen–Mercer-type local fractional integral inequalities for harmonically convex function. Also, we obtain some generalized related results using these inequalities on the fractal space. Finally, we give applications of generalized means and probability density function.
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- Published
- Jan 03, 2022
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Funding
ministerio de ciencia
Award: PGC2018-097198-B-I00
Cite This Article
Saad Ihsan Butt, Praveen Agarwal, Saba Yousaf, et al. (2022). Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications. Journal of Inequalities and Applications, 2022(1). https://doi.org/10.1186/s13660-021-02735-3
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