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September 10, 2025FilomatOpen Access

On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions

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Authors

QCQing‐Bo CaiBeijing Institute of Fashion Technology EKEsma KangalGazi University ÜDÜlkü DinlemezGazi University

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Implication

This paper reveals new approximation properties and convergence behaviors in bivariate functions, suggesting significant improvements over classical operators.

Key Points

Novel λ-Bernstein operators exhibit improved convergence behavior in approximating functions.
An approximation theorem of the Korovkin type and a Voronovskaja theorem established for bivariate functions.
The study includes numerical examples comparing the new operators to classical Kantorovich operators.
Asymptotic properties related to Peetre's K-functional are discussed, highlighting their efficiency in approximation.

Cite This Study

Cai et al. (2025) studied this question.

synapsesocial.com/papers/68c1a12754b1d3bfb60dbf89 https://doi.org/10.2298/fil2505437c

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Implication

This paper reveals new approximation properties and convergence behaviors in bivariate functions, suggesting significant improvements over classical operators.

On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions

Discussion

Member takes

Implication

Key Points

Cite This Study

On a new kind of λ-Bernstein-Kantorovich operators for univariate and bivariate functions

Discussion

Member takes

Implication

Key Points

Cite This Study

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