Approximation by bivariate (p, q)-Baskakov-Kantorovich operators

İNCE İLARSLAN H. G., ACAR T.

GEORGIAN MATHEMATICAL JOURNAL, cilt.25, sa.3, ss.397-407, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/gmj-2016-0057
  • Dergi Adı: GEORGIAN MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.397-407
  • Anahtar Kelimeler: (p, q)-integers, (p, q)-integral, (p, q)-Baskakov-Kantorovich operators, weighted approximation, rate of convergence
  • Gazi Üniversitesi Adresli: Evet

Özet

The present paper deals with the bivariate (p, q)-Baskakov-Kantorovich operators and their approximation properties. First we construct the operators and obtain some auxiliary results such as calculations of moments and central moments, etc. Our main results consist of uniform convergence of the operators via the Korovkin theorem and rate of convergence in terms of modulus of continuity.