Approximation by (p,q)-Analogue of Balazs-Szabados Operators

Yildiz Ozkan E., Ispir N.

FILOMAT, cilt.32, sa.6, ss.2257-2271, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1806257o
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2257-2271
  • Anahtar Kelimeler: Balazs-Szabados operators, (p,q)-integers, rate of convergence, Voronoskaja type theorem, Peetre's K-functional, (P, Q)-ANALOG
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, we introduce a generalization of Balazs-Szabados operators by means of (p,q)-calculus. We give the rate of convergence of Balazs-Szabados operators on based (p,q)-integrers by using Lipschitz class function and the Peetre's K-functional. We give the degree of asymptotic approximation by means of Voronoskaja type theorem. Further, we give some comparisons associated the convergence of Balazs-Szabados, q- Balazs-Szabados and (p,q)-Balazs-Szabados operators to certain functions by illustrations. Moreover, we investigate the properties of the weighted approximation for these operators.