A-statistical extension of the Korovkin type approximation theorem


Erkus E. , Duman O.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.115, sa.4, ss.499-508, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 115 Konu: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1007/bf02829812
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayıları: ss.499-508

Özet

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.