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 s -variate ( s ≥ 1 ) (s ≥ 1) functions are included. These results are obtained with the aid of the generalized simplex splines.
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Edward Neuman (1990) studied this question.
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