Parametric Extensions of a Certain Family of Bernstein-Type Rational Functions

Kılıç F., YÜKSEL İ.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Türkiye, 4 - 07 Eylül 2024, cilt.503 PROMS, ss.205-223, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 503 PROMS
  • Doi Numarası: 10.1007/978-3-031-93279-3_10
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.205-223
  • Anahtar Kelimeler: Bernstein-type rational function, Weighted approximation
  • Gazi Üniversitesi Adresli: Evet

Özet

We acquaint a parametric amplification of a certain family of Bernstein-type rational functions on the interval [0,∞). Firstly, we give the construction of these operators and the values at test functions which will be used in evaluating the central moments of them. Then, we explore the characteristics of the weighted approximation theory related to these operators. Next, shape maintaining characteristics of these operators are examined. Finally, the convergence characteristics of these operators to some functions are showed by graphics.