A-statistical extension of the Korovkin type approximation theorem

Erkus E., Duman O.

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


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.