Degree of Approximation for Bivariate Chlodowsky-Szasz-Charlier Type Operators

Agrawal P. N., İSPİR N.

RESULTS IN MATHEMATICS, cilt.69, ss.369-385, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00025-015-0495-6
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.369-385
  • Anahtar Kelimeler: Chlodowsky-Szasz operators, Charlier polynomials, GBS operators, weighted modulus of continuity, BERNSTEIN-CHLODOVSKY POLYNOMIALS, THEOREM
  • Gazi Üniversitesi Adresli: Evet

Özet

We consider a combination of Chlodowsky polynomials with generalized Szasz operators involving Charlier polynomials. We give the degree of approximation for these bivariate operators by means of the complete and partial modulus of continuity, and also by using weighted modulus of continuity. Furthermore, we construct a GBS (Generalized Boolean Sum) operator of bivariate Chlodowsky-Szasz-Charlier type and estimate the order of approximation in terms of mixed modulus of continuity.