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    • 03) Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
    • Cilt 13, Sayı 1 (2024)
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    • 03) Bitlis Eren Üniversitesi Fen Bilimleri Dergisi
    • Cilt 13, Sayı 1 (2024)
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    On Conic Equations Under Bernstein Operators

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    Date
    2024
    Author
    TUNC, Tuncay
    ALHAZZORI, Ghofran
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    Abstract
    One of the most important problems in approximation theory in mathematical analysis is the determination of sequences of polynomials that converge to functions and have the same geometric properties. This type of approximation is called the shape-preserving approximation. These types of problems are usually handled depending on the convexity of the functions, the degree of smoothness depending on the order of differentiability, or whether it satisfies a functional equation. The problem addressed in this paper belongs to the third class. A quadratic bivariate algebraic equation denotes geometrically some well-known shapes such as circle, ellipse, hyperbola and parabola. Such equations are known as conic equations. In this study, it is investigated whether conic equations transform into a conic equation under bivariate Bernstein polynomials, and if so, which conic equation it transforms into.
    URI
    http://dspace.beu.edu.tr:8080/xmlui/handle/123456789/14899
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    • Cilt 13, Sayı 1 (2024) [31]





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