A Generalization of Szasz Operators by Using the Appell Polynomials of Class A((2))

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VARMA S., SUCU S.

SYMMETRY-BASEL, cilt.14, sa.7, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/sym14071410
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: Szasz operator, Appell polynomials of class A((2)), modulus of continuity, Steklov function, APPROXIMATION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, as a generalization of Szasz operators, a brand-new sequence of operators including the Appell polynomials of class A((2)) is introduced. First, the convergence of this new sequence of operators is obtained, and then, some approximation results are presented by using the tools of approximation theory. In addition, an explicit example for this kind of sequence of operators containing Gould-Hopper polynomials is introduced. The error of the approximation of this new sequence of operators to a function is established.