Remarks on uniformly convexity with applications in A-G-H inequality and entropy

Author(s):

Yamin Sayyari

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this work, we shall give an upper bound for Jensen’s inequality (for uniformly convex functions). Also, we introduce a refinement for the generalized A−G−H inequality. Applying those results in information theory and obtain bounds for entropy.

Keywords:

Jensen’s inequality , Entropy , Arithmetic , geometric means , Uniformly convex function , A−G−H , inequality

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022
Pages:
131 to 139
https://www.magiran.com/p2465127