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Direct theorems for modified Basakov operators in Lp-spaces

100%

Maheshwari P.

2009

tom Vol. 42, nr 3

553-565

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.

Rate of convergence for certain mixed family of linear positive operators

63%

Maheshwari P. , Sharma D.

2010

tom Vol. 33

73-78

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.