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

• Autorzy: Monika Herzog
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2014
• Tom: 13

Daty

wydano

2014-12-01

otrzymano

2014-03-30

poprawiono

2014-05-11

online

2014-12-11

Twórcy

autor

Monika Herzog

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

Bibliografia

• [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]

Identyfikatory

DOI

10.2478/aupcsm-2014-0004