Journals / Turkish Journal of Mathematics / 2003 / Cilt: 27 - Sayı: 3

On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators

Pages
389–405
DOI
—

Abstract

In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of the higher order integral modulus of smoothness using some properties of the Steklov means.

Özet

In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of the higher order integral modulus of smoothness using some properties of the Steklov means.

Keywords: Linear positive operators, Linear combination, Integral modulus of smoothness, Steklov means