Derivatives of Bernstein Polynomials and Smoothness

DOI10.2307/2044546zbMath0569.41006OpenAlexW4239036587MaRDI QIDQ3687142

Z. Ditzian

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044546

zbMATH Keywords

Kantorovich operatorsderivatives of Bernstein polynomials

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Related Items (6)

On the uniform modulus of continuity of certain discrete approximation operators ⋮ Derivatives of multivariate Bernstein operators and smoothness with Jacobi weights ⋮ On a conjecture of Z. Ditzian ⋮ Derivatives of multidimensional Bernstein operators and smoothness ⋮ Approximate controllability of the semilinear reaction-diffusion equation governed by a multiplicative control ⋮ Pointwise approximation theorems for combinations and derivatives of Bernstein polynomials

Cites Work

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• A global inverse theorem for combinations of Bernstein polynomials
• An elementary proof of the inverse theorem for Bernstein polynomials
• Mathematical expectation of continuous functions of random variables. Smoothness and variance

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