| Abstrakt: |
In this paper we examine approximation properties of a certain q− Baskakov operator, V n , q (f ; y) = ∑ k = 0 ∞ b n , k q (y) f ( [ k ] q q k − 1 [ n ] q ) . We reconstruct the operators Vn,q (f; y) utilizing the notion of mathematical expectation of identically distributed sequence of stochastic variables Yn,k (y) and extend them to the limit q− Baskakov operators V∞,q (f; y). It is shown that in case of a fixed q, the sequence Vn,q (f; y) converges to V∞,q (f; y) rather then f (x). [ABSTRACT FROM AUTHOR] |
