Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications
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Open Access
- 3 January 2022
- journal article
- research article
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2022 (1) , 1-18
Abstract
In 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.Keywords
Funding Information
- Ministerio de Ciencia (PGC2018-097198-B-I00)
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