ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

  1. Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków Poland

Abstract

In this paper we study approximation properties of partial modified Szasz-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.

Bibliography

  1. M. Herzog, Approximation theorems for modified Szász-Mirakyan operators in polynomial weight spaces, Matematiche (Catania) 54 (1999), no. 1, 77-90. Cited on 45.
  2. M. Herzog, Approximation of functions from exponential weight spaces by operators of Szász-Mirakyan type, Comment. Math. Prace Mat. 43 (2003), no. 1, 77-94. Cited on 47.
  3. M. Herzog, Approximation of functions of two variables from exponential weight spaces, Technical Transactions. Fundamental Sciences, 1-NP (2012), 3-10. Cited on 47.
  4. R.N. Mohapatra, Z. Walczak, Remarks on a class of Szász-Mirakyan type operators, East J. Approx. 15 (2009), no. 2, 197-206. Cited on 46 and 49.
  5. Z. Walczak, V. Gupta, A note on the convergence of Baskakov type operators, Appl. Math. Comput. 202 (2008), no. 1, 370-375. Cited on 46.[WoS]
  6. Z. Walczak, Approximation theorems for a general class of truncated operators, Appl. Math. Comput. 217 (2010), no. 5, 2142-2148. Cited on 46. [WoS]
Main language of publication
English
Received
2014-03-30
Accepted
2014-05-11
Published
2014-12-01
Published online
2014-12-11
Exact and natural sciences