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

Esma Yıldız Özkan and Gözde Aksoy
Additional contact information
Esma Yıldız Özkan: Department of Mathematics, Faculty of Science, Gazi University, Ankara 06500, Turkey
Gözde Aksoy: Department of Mathematics, Graduate School of Natural and Applied Sciences, Gazi University, Ankara 06500, Turkey

Mathematics, 2022, vol. 10, issue 6, 1-13

Abstract: 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.

Keywords: linear positive operator; rate of convergence; Bernstein-type rational function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/6/973/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/6/973/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:6:p:973-:d:774154

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().