We introduce and study very general stochastic positive linear operators induced by general positive linear operators that are acting on continuous functions. These are acting on the space of real differentiable stochastic processes. Under some very mild, general and natural assumptions on the stochastic processes we produce related stochastic Shisha–Mond type inequalities of L-type 1 ≤ q < ∞ a...

Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a...

The purpose of this work is to show that fuzzy Bernstein-Stancu operators introduced in [3] satisfy an A-statistical version of fuzzy Korovkin theorem. Some properties of these operators are also proved. An example of new fuzzy positive and linear operators is presented.

We consider sequences of s · k(n)× t · k(n) matrices {An(f)} with a block structure spectrally distributed as an L1 p-variate s× t matrix-valued function f , and, for any n, we suppose that An(·) is a linear and positive operator. For every fixed n we approximate the matrix An(f) in a suitable linear space Mn of s · k(n) × t · k(n) matrices by minimizing the Frobenius norm of An(f)−Xn when Xn r...