The Jensen's inequality and functional form of Jensen's inequality for 3-convex functions at a point

Volume 22, Issue 2, pp 131--141 http://dx.doi.org/10.22436/jmcs.022.02.05
Publication Date: July 16, 2020 Submission Date: April 07, 2020 Revision Date: June 09, 2020 Accteptance Date: June 22, 2020

Authors

Yu Ming Chu - Department of Mathematics, Huzhou University, Huzhou, China. Imran Abbas Baloch - Abdus Salam School of Mathematical Sciences GC University, Lahore, Pakistan. - Higher Education Department, Govt. College Gulberg Lahore, Punjab, Pakistan. Absar Ul Haq - Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan. Manuel De La Sen - Institute of Research and Development of Processors, University of the Basque Country campus of Leioa (Bizkaia), 48940 Leioa , Spain.


Abstract

In this paper, we give the refinement of extension of Jensen's inequality to affine combinations. Furthermore, we present a functional form of Jensen's inequality for continuous 3-convex functions at a point of one variable.


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ISRP Style

Yu Ming Chu, Imran Abbas Baloch, Absar Ul Haq, Manuel De La Sen, The Jensen's inequality and functional form of Jensen's inequality for 3-convex functions at a point, Journal of Mathematics and Computer Science, 22 (2021), no. 2, 131--141

AMA Style

Chu Yu Ming, Baloch Imran Abbas, Haq Absar Ul, Sen Manuel De La, The Jensen's inequality and functional form of Jensen's inequality for 3-convex functions at a point. J Math Comput SCI-JM. (2021); 22(2):131--141

Chicago/Turabian Style

Chu, Yu Ming, Baloch, Imran Abbas, Haq, Absar Ul, Sen, Manuel De La. "The Jensen's inequality and functional form of Jensen's inequality for 3-convex functions at a point." Journal of Mathematics and Computer Science, 22, no. 2 (2021): 131--141


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