Cauchy type means for some generalized convex functions
Open Access
- 1 July 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Inequalities and Applications
- Vol. 2021 (1), 1-13
- https://doi.org/10.1186/s13660-021-02647-2
Abstract
In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense. Also, by using Hermite–Hadamard inequalities for the respective generalized convex functions, we find new generalized Cauchy type means.Keywords
Funding Information
- National University of Sciences and Technology, Islamabad, Pakistan (Nill)
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