p. 281 - 292 Matrix Summability and Korovkin Type Approximation Theorem on Modular Spaces S. Karakus and K. Demirci Received: May 5, 2010; Revised: July 13, 2010; Accepted: July 13, 2010 Abstract. In this paper, using a matrix summability method we obtain a Korovkin type approximation theorem for a sequence of positive linear operators defined on a modular space. Keywords: Positive linear operators; modular space; matrix summability; Korovkin theorem AMS Subject classification: Primary: 40A30, 41A36, 47G10, 46E30 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 © 2010, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |