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

نویسندگان
Sayyari, Yamin ID 1

1 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

doi
10.22075/ijnaa.2022.24133.2678
چکیده

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.

کلیدواژه‌ها
Jensen’s inequality, Entropy, Arithmetic and geometric means, Uniformly convex function, $A-G-H$ inequality