p. 159 - 169
Approximation for periodic functions via statistical
S. Karakuş and K. Demirci
Received: March 28, 2011; Accepted: June 26, 2012
Abstract. In this paper, using the concept of statistical A-summability which is stronger than the A-statistical convergence we prove a Korovkin type approximation theorem for sequences of positive linear operator defined on C*(p) which is the space of all p-periodic and continuous functions on R, the set of all real numbers. We also compute the rates of statistical A-summability of sequence of positive linear operators.
Keywords: Statistical convergence; statistical A-summability; positive linear operator; Korovkin type approximation theorem; Fejér operators.
AMS Subject classification: Primary: 40G15, 41A25, 41A36, 47B38.
PDF Compressed Postscript Version to read
ISSN 0862-9544 (Printed edition)
Faculty of Mathematics, Physics and Informatics
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
e-Mail: firstname.lastname@example.org Internet: www.iam.fmph.uniba.sk/amuc
© 2012, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE