The lower estimate for linear positive operators. II
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Publication:1329594
DOI10.1007/BF03323413zbMath0820.41019OpenAlexW1965114265MaRDI QIDQ1329594
Hans-Bernd Knoop, Xin-Long Zhou
Publication date: 12 July 1994
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03323413
Approximation by polynomials (41A10) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27) Saturation in approximation theory (41A40)
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POINTWISE APPROXIMATION BY BERNSTEIN POLYNOMIALS ⋮ A strong converse inequality for generalized sampling operators ⋮ The lower estimate for linear positive operators. I ⋮ Bernstein polynomials and learning theory ⋮ A characterization of the rate of the simultaneous approximation by generalized sampling operators and their Kantorovich modification ⋮ Structure properties for binomial operators ⋮ The complete asymptotic expansion for Bernstein operators ⋮ Direct and strong converse theorems for a general sequence of positive linear operators ⋮ Strong converse results for linking operators and convex functions ⋮ The saturation class for linear combinations of Szász–Mirakjan operators ⋮ Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums ⋮ Approximation and shape preserving properties of the Bernstein operator of max-product kind ⋮ Inequalities for trigonometric polynomials and some integral means ⋮ Strong type of Steckin inequality for the linear combination of Bernstein operators ⋮ Asymptotic constant in approximation of twice differentiable functions by a class of positive linear operators ⋮ \(K\)-functionals and multivariate Bernstein polynomials ⋮ Simultaneous approximation by Bernstein polynomials with integer coefficients ⋮ On preservation of binomial operators ⋮ Connections between the Approximation Orders of Positive Linear Operators and Their Max-Product Counterparts
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