Some Approximation Properties of Operators Including Degenerate Appell Polynomials

Sergi B. Z., İÇÖZ G., ÇEKİM B.

Mathematica Slovaca, cilt.73, sa.6, ss.1545-1558, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 6
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/ms-2023-0111
  • Dergi Adı: Mathematica Slovaca
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1545-1558
  • Anahtar Kelimeler: 33C45, 41A25, 41A36
  • Gazi Üniversitesi Adresli: Evet

Özet

This paper is interested in a new sequence of linear positive operators including degenerate Appell polynomials. We give a convergence theorem for these operators and obtain the quantitative estimation of the approximation by using modulus of continuity, Peetre's -functional, Lipschitz class functions and a Voronovskaja-type theorem. In addition, we give a Kantorovich modification of these operators and derive some approximation properties.