The applications of q-calculus in the approximation theory is a very interesting area of research in the recent years, several new q-operators were introduced and their behaviour were discussed by many researchers. This paper is the extension of the paper [15], in which Durrmeyer type generalization of q-Baskakov–Stancu type operators were discussed by using the concept of q-integral operators. Here, we propose to study the Stancu variant of q-Baskakov–Stancu type operators. We establish an estimate for the rate of convergence in terms of modulus of continuity and weighted approximation properties of these operators.
2
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
The present paper deals with the mixed integrated operators Mn(f; x); which are linear and positive having different basis functions in summation and integration respectively. We estimate the rate of convergence for these operators for functions which have derivatives of bounded variation.
3
Dostęp do pełnego tekstu na zewnętrznej witrynie WWW
In the year 1993, Gupta and Srivastava [3] introduced the integral modication of the well known Basakov operators by taking the weight functions of Szasz basis function, so called Baskakov-Szasz operators. To prove our one of the direct theorems, we use the technique of a mathematical tool which is the linear approximating method and is known as the Steklov means.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.