Multivariate stochastic Korovkin theory given quantitatively
We introduce and study very general multivariate stochastic positive linear operators induced by general multivariate positive linear operators that are acting on multivariate continuous functions. These are acting on the space of real differentiable multivariate time stochastic processes. Under some very mild, general and natural assumptions on the stochastic processes we produce related multidimensional stochastic Shisha-Mond type inequalities of L(q)-type1  = 0. The astonishing fact here is that basic real Korovkin test functions assumptions are enough for the conclusions of our multidimensional stochastic Korovkin theory. We give an application. (c) 2007 Elsevier Ltd. All rights reserved.
multivariate stochastic positive linear operator stochastic korovkin theory and inequalities stochastic shisha-mond inequality multivariate stochastic modulus of continuity multivariate stochastic process