6533b7cffe1ef96bd1258d45

RESEARCH PRODUCT

Convergence Properties of Genuine Bernstein–Durrmeyer Operators

Ana Maria Acu

subject

MapleRate of convergenceConvergence (routing)engineeringApplied mathematicsengineering.materialGraphicsModulus of continuityMathematics

description

The genuine Bernstein–Durrmeyer operators have notable approximation properties, and many papers have been written on them. In this paper, we introduce a modified genuine Bernstein–Durrmeyer operators. Some approximation results, which include local approximation, error estimation in terms of the modulus of continuity and weighted approximation is obtained. Also, a quantitative Voronovskaya-type approximation will be studied. The convergence of these operators to certain functions is shown by illustrative graphics using MAPLE algorithms.

yearjournalcountryeditionlanguage
2018-01-01
https://doi.org/10.1007/978-981-13-3077-3_5