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


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Ozkan E. , İSPİR N.

FILOMAT, cilt.32, ss.2257-2271, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1806257o
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.2257-2271

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.