Using a stochastic approach, we establish a multidimensional version of the classical Hermite-Hadamard inequalities which holds for convex functions on general convex bodies. The result is closely related to the Dirichlet problem.
In this paper, we establish two basic functional-type identities between the iterates of the Bleimann᎐Butzer᎐Hahn operator and those of the Bernstein Ž . operator, on the one hand, and the iterates of the modified Meyer᎐Konig and Zeller operator and those of the Baskakov operator, on the other. These identities allow us to transfer the properties of these operators from one to another. Attention is focused on the limit behavior of the iterates and the linear combinations of iterates of Fejer᎐Korovkin type.
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