In the present paper we introduce the q analogue of the Baskakov Beta operators. We establish some direct results in the polynomial weighted space of continuous functions defined on the interval [0, ∞). Then we obta...
Supported by the Hebei Provincial Science Foundation of China (A2004000137);Doctoral Research Fund of Hebei Normal University (L2002B03)
Abstract The rate of convergence for the Gamma operators cannot be faster than $$O{\left( {\frac{1}{n}} \right)}$$. In order to obtain much faster convergence, quasi-interpolants in the sense of Sablonnière are consi...
This project is supported by the National Natural Science Foundation of China.
We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[-π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entir...