Improvements of the integral Jensen inequality through the treatment of the concept of convexity of thrice differential functions

Improvements of the integral Jensen inequality through the treatment of the concept of convexity of thrice differential functions

Jensen's inequality, with its broad applications across various fields, presents an important subject for investigation and research. In this article, we introduce novel enhancements to Jensen's inequality by utilizing the convexity properties of a thrice differentiable function in the abs...

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Bibliographic Details
Main Authors: Asadullah Sohail, Muhammad Adil Khan, Xiaoye Ding, Mohamed Sharaf, Mohammed A. El-Meligy
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
convex function
concave function
jensen's inequality
hölder inequality
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241620
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