Steckin-Marchaud-type inequalities in connection with Bernstein polynomials
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Publication:1089544
DOI10.1007/BF01893435zbMath0619.41013OpenAlexW2027856607MaRDI QIDQ1089544
Publication date: 1986
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01893435
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)
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Inequalities for a class of multivariate operators ⋮ Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces ⋮ Generalized weighted Stechkin-Marchaud-type inequalities for Baskakov-Durrmeyer operators ⋮ Strong converse inequalities for Baskakov operators. ⋮ Stechkin-Marchaud-type inequalities with Jacobi weights for Bernstein operators ⋮ \(K\)-moduli, moduli of smoothness, and Bernstein polynomials on a simplex ⋮ The direct and converse inequalities for Jackson-type operators on spherical cap ⋮ Strong converse inequalities ⋮ L p approximation by general Bernstein-Durrmeyer operator defined on simplex ⋮ Direct and inverse theorems for Bernstein polynomials in the space of Riemann integrable functions ⋮ The essential order of simultaneous approximation for neural networks ⋮ Kantorovich-Bernstein polynomials ⋮ Stechkin-Marchaud-type inequalities for Baskakov polynomials
Cites Work
- Weak interpolation in Banach spaces
- A global inverse theorem for combinations of Bernstein polynomials
- An elementary proof of the inverse theorem for Bernstein polynomials
- On interpolation of L//p[a,b and weighted Sobolev spaces]
- An interpolation theorem and its applications to positive operators
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