On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
MATHEMATICS, cilt.10, sa.6, 2022 (SCI-Expanded, Scopus)
- 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.