Quantitative estimates for a certain bivariate Chlodowsky-Szasz-Kantorovich type operators

İSPİR N., BÜYÜKYAZICI İ.

MATHEMATICAL COMMUNICATIONS, cilt.21, sa.1, ss.31-44, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.31-44
  • Anahtar Kelimeler: Chlodowsky and Szasz type operators, Kantorovich operators, partial moduli of continuity, Peetre's K-functional, APPROXIMATION PROPERTIES
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a bivariate Kantorovich variant of the combination of Chlodowsky and Szasz type operators and study local approximation properties of these operators. We estimate the approximation order in terms of Peetre's K-functional and partial moduli of continuity. We also give some numerical error estimates and illustrations.