Work

Some New Results on Bicomplex Bernstein Polynomials

Year: 2021

Type: article

Abstract: The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore, we obtain and present quantitative estimate inequalities and the Voronovskaja-type result for analytic functions by bicomplex Bernstein polynomials.

Source: Mathematics

DOI: 10.3390/math9212748

Authors: Carlo Cattani, Çíğdem Atakut, Özge Özalp Güller, Seda Karateke

Institutions: Università degli Studi della Tuscia, Ankara University, Istanbul Topkapi University

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,728

OpenAlex ID: W3209734864

FWCI:

Cites: 26

Cited by: 1

Related to: 10