Approximation by (p,q)-Analogue of Balazs-Szabados Operators
FILOMAT, cilt.32, sa.6, ss.2257-2271, 2018 (SCI-Expanded, Scopus)
- 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.