On a New Generalization of Bernstein-Type Rational Functions and Its Approximation

Yildiz Ozkan E., Aksoy G.

MATHEMATICS, cilt.10, sa.6, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3390/math10060973
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: linear positive operator, rate of convergence, Bernstein-type rational function, BEZIER VARIANT, BALAZS, OPERATORS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function. We investigate its error of approximation globally and locally in terms of the first and second modulus of continuity and a class of Lipschitz-type functions. We present graphical comparisons of its approximation with illustrative examples.