APPROXIMATION PROPERTIES OF A CLASS OF LINEAR POSITIVE OPERATORS IN WEIGHTED SPACES

作者：Erencin Aysegul^*; Bascanbaz Tunca Gulen

来源：Comptes Rendus de l Academie Bulgare des Sciences, 2010, 63(10): 1397-1404.

• linear positive operators
• generalized Baskakov operators
• weighted spaces
• modulus of continuity
• Lipschitz class
• recurrence relation

In this paper, we introduce a generalization of a class of linear positive operators constructed in [(7)]. Approximation properties of these operators are given in weighted spaces of continuous functions on positive semi-axis. Also an estimate is obtained by using classical modulus of continuity. We compute the order of convergence of these operators with the help of the elements of Lipschitz class and present an application to functional differential equations.

• 出版日期2010