IJPAM: Volume 60, No. 3 (2010)
ON CERTAIN CLASS OF SZÁSZ-MIRAKYAN
OPERATORS IN EXPONENTIAL WEIGHT SPACES
OPERATORS IN EXPONENTIAL WEIGHT SPACES
Lucyna Rempulska
, Szymon Graczyk
Institute of Mathematics
Poznan University of Technology
3a, Ul. Piotrowo, Poznan, 60-965, POLAND
e-mail: lucyna.rempulska@put.poznan.pl
e-mail: szymon.graczyk@euronauka.com.pl



Poznan University of Technology
3a, Ul. Piotrowo, Poznan, 60-965, POLAND


Abstract.Applying the Borel methods of summability of sequences, we introduce the class of Szász-Mirakyan operators acting from the exponential weight space to
and we give approximation theorems for them.
Received: February 20, 2010
AMS Subject Classification: 41A36
Key Words and Phrases: Szász-Mirakyan operator, exponential weight space, degree of approximation, Voronovskaya type theorem
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 3