Approximation by Operators Including Generalized Appell Polynomials

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İÇÖZ G., VARMA S., SUCU S.

FILOMAT, cilt.30, sa.2, ss.429-440, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1602429i
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.429-440
  • Anahtar Kelimeler: Szasz operator, Generalized Appell polynomials, Miller-Lee polynomials, Gould-Hopper polynomials
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, the problem of the approximation by certain polynomials is addressed. A new type operators sequence including generalized Appell polynomials are defined, qualitative and quantitative approximation theorems are proved. Some explicit examples of our operators involving Hermite polynomials of nu variance, Gould-Hopper polynomials and Miller-Lee polynomials are given. Also, we present some numerical examples to confirm our theoretical results.