A-statistical extension of the Korovkin type approximation theorem

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Erkus E., Duman O.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, vol.115, no.4, pp.499-508, 2005 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 115 Issue: 4
• Publication Date: 2005
• Doi Number: 10.1007/bf02829812
• Journal Name: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.499-508
• Çanakkale Onsekiz Mart University Affiliated: No

Abstract

In this paper, using the concept of A-statistical convergence which is a regular (non-matrix) summability method, we obtain a general Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence {L(n)f} of positive linear operators.