July 11, 2024Open Access

Convergence of \ (\) -Bernstein - Kantorovich operators in the \ (Lₚ\) - norm

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Resumen

We show the convergence of \ (\) -Bernstein - Kantorovich operators defined by Acu et al. J. Ineq. Appl. 2018, for functions in \ (Lₚ0, 1, \, p 1\). We also determine the convergence rate via integral modulus of smoothness.

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Agrawal et al. (Thu,) studied this question.

synapsesocial.com/papers/68e60ac3b6db64358759dadf https://doi.org/https://doi.org/10.33993/jnaat531-1374

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1Approximation properties of λ-Bernstein operators2018 · 132 citations
2Approximation Properties of Generalized $$\lambda$$-Bernstein–Kantorovich Type Operators2020 · 32 citations
3Approximation properties of univariate and bivariate new class $$\lambda $$-Bernstein–Kantorovich operators and its associated GBS operators2023 · 29 citations
4Approximation by Means of Kantorovich-Stancu Type Operators2013 · 19 citations
5On the Rates of Approximation of Bernstein Type Operators2001 · 50 citations

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