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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Inequalities involving multivariate convex functions. II


Author: Edward Neuman
Journal: Proc. Amer. Math. Soc. 109 (1990), 965-974
MSC: Primary 26D99; Secondary 41A15
DOI: https://doi.org/10.1090/S0002-9939-1990-1009996-4
MathSciNet review: 1009996
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Abstract: In this paper we offer some inequalities involving multivariate convex functions. Among other things a refinement of classical Jensen's inequality as well as an extension of Fejér's inequality to the case of $ s$-variate $ (s \geq 1)$ functions are included. These results are obtained with the aid of the generalized simplex splines.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1990-1009996-4
Keywords: Multivariate convex functions, density functions, generalized simplex splines, $ R$-hypergeometric functions
Article copyright: © Copyright 1990 American Mathematical Society