Affiliation:
1. Department of Mathematics Jaypee University of Engineering and Technology, Guna, 473226 INDIA
Abstract
In the present communication, we give the converse of generalized ‘useful’ Jensen inequality and show that some recently reported inequalities are simple consequences of those results that have been established for a long time. We also include a new improvement of the proposed inequality of Jensen as well as changes to some associated outcomes, where generalized ‘useful’ converse of the Inequality of Jensen is presented and implementations related to it are given in the theory of information. Finally, it is shown with the help of numerical data that inequalities hold well both for convex and concave functions.
Publisher
World Scientific and Engineering Academy and Society (WSEAS)
Subject
Computer Science Applications,Control and Systems Engineering
Reference16 articles.
1. Belis, M. and S. Guiasu. (1968). A quantitative-qualitative measure of information in Cybernetics System, IEEE Trans. Inform. Theory IT 14: 593–594.
2. Chandy, T.W. And J.B. Mcliod (1960). On a functional equation, Proc. Edinburgh Math’s 43: 7–8.
3. Dragomir, S. S., C. J. Goh (1996). A counterpart of Jensen’s discrete inequality for differentiable convex mappings and applications in information theory, Math. Comput. Modelling 24(2): 1–11.
4. Dragomir, S. S., N. M. Ionescu (1994). Some converse of Jensen’s inequality and applications, Anal. Num. Theor. Approx 23: 71–78.
5. Dragomir, S.S. (2001, a). On a converse of Jensen’s Inequality, Univ. Beograd. Publ. Elektrotehn. Fak.Ser. Mat. 12: 48–51.
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献