Quantitative Estimates for the Tensor Product (p,q)-Balazs-Szabados Operators and Associated Generalized Boolean Sum Operators

Yildiz Ozkan E.

FILOMAT, cilt.34, sa.3, ss.779-793, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2003779o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.779-793
  • Anahtar Kelimeler: Balazs-Szabados operators, (p,q)-calculus, rate of convergence, Boolean sum operators, APPROXIMATION, (P
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we give some approximation results for the tensor product of (p,q)-BalazsSzabados operators associated generalized Boolean sum (GBS) operators. Firstly, we introduce tensor product (p,q)-Balazs-Szabados operators and give an uniform convergence theorem of these operators on compact rectangular regions with an illustrative example. Then we estimate the approximation for the tensor product (p,q)-Balazs-Szabados operators in terms of the complete modulus of continuity, the partial modulus of continuity, Lipschitz functions and Petree's K-functional corresponding to the second modulus of continuity. After that, we introduce the GBS operators associated the tensor product (p,q)-Balazs-Szabados operators. Finally, we improve the rate of smoothness by the mixed modulus of smoothness and Lipschitz class of Bogel continuous functions for the GBS operators.