Abstract

MOHAMMAD, Ali J.  and  HASSAN, Amal K.. Simultaneous approximation by a new sequence of Szãsz-beta type operators. Rev. Unión Mat. Argent. [online]. 2009, vol.50, n.1, pp.31-40. ISSN 0041-6932.

In this paper, we study some direct results in simultaneous approximation for a new sequence of linear positive operators of Szãsz-Beta type operators. First, we establish the basic pointwise convergence theorem and then proceed to discuss the Voronovaskaja-type asymptotic formula. Finally, we obtain an error estimate in terms of modulus of continuity of the function being approximated.

Keywords : Linear positive operators; Simultaneous approximation; Voronovaskaja-type asymptotic formula; Degree of approximation; Modulus of continuity.

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