Bivariate Bernstein polynomials that reproduce exponential functions

No Thumbnail Available

Files

39.pdf (1.72 MB)

Date

2021-06-30

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Ankara Üniversitesi Fen Fakültesi

Abstract

In this paper, we construct Bernstein type operators that reproduce exponential functions on simplex with one moved curved side. The operator interpolates the function at the corner points of the simplex. Used function sequence with parameters α and β not only are gained more modeling flexibility to operator but also satisfied to preserve some exponential functions. We examine the convergence properties of the new approximation processes. Later, we also state its shape preserving properties by considering classical convexity. Finally, a Voronovskaya-type theorem is given and our results are supported by graphics.

Description

Keywords

Bernstein operators, Exponential functions, Classical and exponential convexity

Citation

URI

https://doi.org/10.31801/cfsuasmas.793968
 http://hdl.handle.net/20.500.12575/76503

Collections

Cilt:70 Sayı:01 (2021)
Load more