p. 151 - 157 A-Statistical Korovkin type approximation theorem for function of two variables on an infinite interval K. Demirci and S. Karakuş Received: June 11, 2010; Accepted: March 6, 2012 Abstract. In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [ 0, ¥) ´ [ 0, ¥) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical version. Keywords: A-statistical convergence of double sequence; positive linear operator; the Korovkin theorem; Baskakov operator. AMS Subject classification: Primary: 40G15, 41A36 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |