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

Herzog, Monika

doi:10.2478/aupcsm-2014-0004

.blurhash-client-img { display: none !important; }

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

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 13 (2014): Issue 1 (December 2014)

By: Monika Herzog

Open Access

|Dec 2014

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.

References

[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.
Search in Google Scholar
[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.
Search in Google Scholar
[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.
Search in Google Scholar
[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.
Search in Google Scholar
[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.
Search in Google Scholar
[6] Z. Walczak, Approximation theorems for a general class of truncated operators, Appl. Math. Comput. 217 (2010), no. 5, 2142-2148. Cited on 46.
Search in Google Scholar

DOI: https://doi.org/10.2478/aupcsm-2014-0004 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

Journal RSS Feed

Language: English

Page range: 45 - 50

Submitted on: Mar 30, 2014

Published on: Dec 11, 2014

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

General mathematics

© 2014 Monika Herzog, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

Previous article Volume 13 (2014): Issue 1 (December 2014)Next article