STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM

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BELEN C., Mursaleen M., YILDIRIM M.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.49, sa.4, ss.851-861, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4134/bkms.2012.49.4.851
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.851-861
  • Anahtar Kelimeler: statistical convergence, statistical A-summability, Korovkin theorem, double sequence, positive linear operators, CONVERGENCE
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we define the notion of statistical A-summability for double sequences and find its relation with A-statistical convergence. We apply our new method of summability to prove a Korovkin-type approximation theorem for a function of two variables. Furthermore, through an example, it is shown that our theorem is stronger than classical and statistical cases.