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.

---. "Approximation of functions from exponential weight spaces by operators of Szász-Mirakyan type." Comment. Math. Prace Mat. 43.1 (2003): 77-94.

---. "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.


Full Text: PDF

Download statistics: 2220

Licencja Creative Commons
This article by Monika Herzog is governed by the Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported licence.


e-ISSN: 2300-133X, ISSN: 2081-545X

Since 2017 Open Access in De Gruyter and CrossCheck access cofinanced by The Ministry of Science and Higher Education - Republic of Poland - DUN 775/P-DUN/2017 see more

The Journal is indexed in:
and others see Abstracting and Indexing list

AUPC SM is on the List of the Ministry’s scored journals with 20 points for 2019

Deklaracja dostępności cyfrowej