GENERALIZED BASKAKOV TYPE OPERATORS

ERENÇİN A., OLGUN A., TAŞDELEN YEŞİLDAL F.

MATHEMATICA SLOVACA, cilt.67, sa.5, ss.1269-1277, 2017 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67 Sayı: 5
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1515/ms-2017-0048
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1269-1277
  • Anahtar Kelimeler: Baskakov operator, weighted convergence, Voronovskaya type theorem, LINEAR POSITIVE OPERATORS, THEOREMS, APPROXIMATION, CONVERGENCE, SEQUENCE, SZASZ
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a generalization of Baskakov operators based on a function rho. We prove a weighted Korovkin type theorem and compute the rate of convergence via weighted modulus of continuity for these operators. Also we give a Voronovskaya type asymptotic formula.