Chlodowsky type generalization of (p,q)-Szasz operators involving Brenke type polynomials


Kadak U., Mishra V. N. , Pandey S.

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, cilt.112, sa.4, ss.1443-1462, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Konu: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s13398-017-0439-y
  • Dergi Adı: REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
  • Sayfa Sayıları: ss.1443-1462

Özet

In this paper, we introduce a Chlodowsky variant of the Szasz operators by means of the (p, q)-integers as well as of the (p, q)-Gaussian binomial coefficients. For 0 < q < p = 1, we denote the sequence of (p, q)-Szasz operators by Ln, p, q and obtain some direct theorems and results based on statistical convergence. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.