Bivariate q-Bernstein-Chlodowsky-Durrmeyer type operators and the associated GBS operators

Garg T., İSPİR N., Agrawal P. N.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.5, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s1793557120500916
  • Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Partial modulus of continuity, generalized boolean sum, Bogel continuous, Bogel differentiable, mixed modulus of smoothness, APPROXIMATION PROPERTIES, VARIANT
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper deals with the approximation properties of the q-bivariate Bernstein- Chlodowsky operators of Durrmeyer type. We investigate the approximation degree of the q-bivariate operators for continuous functions in Lipschitz space and also with the help of partial modulus of continuity. Further, the Generalized Boolean Sum (GBS) operator of these bivariate q-Bernstein-Chlodowsky-Durrmeyer operators is introduced and the rate of convergence in the Bogel space of continuous functions by means of the Lipschitz class and the mixed modulus of smoothness is examined. Furthermore, the convergence and its comparisons are shown by illustrative graphics for the q-bivariate operators and the associated GBS operators to certain functions using Maple algorithms.