Saturation of positive operators

DOI10.1016/0021-9045(72)90008-1zbMath0233.41007OpenAlexW2055114241MaRDI QIDQ2551214

Larry L. Schumaker, George G. Lorentz

Publication date: 1972

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(72)90008-1

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Saturation in approximation theory (41A40)

Related Items (15)

Voronovskaya-type results for positive linear operators of exponential type and their derivatives ⋮ A converse of asymptotic formulae in simultaneous approximation ⋮ 𝒜 $$\mathcal{A}$$ -Summability of Sequences of Linear Conservative Operators ⋮ \(L^p\) approximation strategy by positive linear operators ⋮ Problems and solutions concerning Kantorovich operators ⋮ Direct and converse results for multivariate generalized Bernstein polynomials ⋮ Inverse results of approximation and the saturation order for the sampling Kantorovich series ⋮ A note on almost convex operators and saturation. ⋮ Pointwise saturation for variation diminishing convolution transforms ⋮ Optimal simultaneous approximation via \(\mathcal{A}\)-summability ⋮ Approximation of Functions by Convexity Preserving Continuous Linear Operators ⋮ The saturation class and iterates of the Bernstein polynomials ⋮ Pointwise saturation of positive operators ⋮ Cebysev-Systeme und Lipschitzklassen ⋮ Approximation by Szasz-Mirakjan-Kantorovich operators in \(L^p\) \((p>1)\)

Cites Work

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• A recurrence formula for generalized divided differences and some applications
• Operatoren vom Bernsteinschen Typ
• Iteration of positive approximation operators
• Saturation of local approximation by linear positive operators of Bernstein type
• Some remarks of saturation problem in the local approximation
• Some remarks on saturation problem in the local approximation. II
• The saturation class and iterates of the Bernstein polynomials
• Bernstein Power Series
• Evaluation of the Remainder Term in Approximation Formulas by Bernstein Polynomials
• A note on approximation by Bernstein polynomials
• On the degree of approximation by Bernstein polynomials

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