International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Author

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

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

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 131-139
  • Receive Date: 03 August 2021
  • Revise Date: 29 August 2021
  • Accept Date: 07 May 2022