A note on the convergence of partial Szász-Mirakyan type operators

Monika Herzog

Abstract


In this paper we study approximation properties of partial modified Szász-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.

Keywords


Linear positive operators, Bessel function, exponential weight spaces

Mathematics Subject Classification (2010)


41A36

References


Herzog, M. "Approximation theorems for modified Szász-Mirakyan operators in polynomial weight spaces." Matematiche (Catania) 54.1 (1999): 77-90.

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---. "Approximation of functions of two variables from exponential weight spaces." Technical Transactions. Fundamental Sciences 1-NP (2012): 3-10.

MohapatraR.N. and Z. Walczak. "Remarks on a class of Szász-Mirakyan type operators." East J. Approx. 15.2 (2009): 197-206.

Walczak, Z. and V. Gupta. "A note on the convergence of Baskakov type operators." Appl. Math. Comput. 202.1 (2008): 370-375.

Walczak, Z. "Approximation theorems for a general class of truncated operators." Appl. Math. Comput. 217.5 (2010): 2142-2148.


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