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September 10, 2025FilomatOpen Access

Approximation by Bézier type associated shifted knots of (λ, q)-Bernstein operators

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This article introduces the (λ, q)-Bernstein operators with Bezier functions, highlighting convergence theorems for specific function classes.

The study presents the construction of (λ, q)-Bernstein operators using shifted knot polynomials.
It establishes a local approximation theorem and demonstrates convergence results for Lipschitz continuous functions.
Korovkin's theorem and a Voronovskaja type asymptotic formula are derived in this context.
The findings contribute to understanding polynomial approximations in the framework of Bézier functions.

Nasiruzzaman et al. (2025) studied this question.

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September 10, 2025FilomatOpen Access

View Full Paper

Ask AI

Bookmark

Authors

This article introduces the (λ, q)-Bernstein operators with Bezier functions, highlighting convergence theorems for specific function classes.

The study presents the construction of (λ, q)-Bernstein operators using shifted knot polynomials.
It establishes a local approximation theorem and demonstrates convergence results for Lipschitz continuous functions.
Korovkin's theorem and a Voronovskaja type asymptotic formula are derived in this context.
The findings contribute to understanding polynomial approximations in the framework of Bézier functions.

Nasiruzzaman et al. (2025) studied this question.

View Full Paper

Ask AI

Bookmark