Bernstein-type operators diminish the \(\varphi\)-variation
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Publication:1357541
zbMath0873.41006MaRDI QIDQ1357541
José A. Adell, Jesús De La Cal
Publication date: 28 September 1997
Published in: Constructive Approximation (Search for Journal in Brave)
Signal detection and filtering (aspects of stochastic processes) (60G35) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35) Approximations and expansions (41A99)
Related Items (20)
On uniform approximation by some classical Bernstein-type operators. ⋮ Quantitative estimates for positive linear operators in terms of the usual second modulus ⋮ A review on approximation results for integral operators in the space of functions of bounded variation ⋮ Bernstein-Durrmeyer operators ⋮ Bernstein and Kantorovich polynomials diminish the \(\Lambda\)-variation ⋮ Muirhead inequality for convex orders and a problem of I. Raşa on Bernstein polynomials ⋮ Random linear operators arising from piecewise linear interpolation on the unit interval ⋮ A form of gamma operator due to Rathore ⋮ On the variation detracting property of operators of Balázs and Szabados ⋮ Preservation of \(p\)-continuity by Bernstein-type operators ⋮ Convergence and rate of approximation in \(BV^{\phi}(\mathbb R^N_+)\) for a class of Mellin integral operators ⋮ Upper estimates in direct inequalities for Bernstein-type operators ⋮ On Bernstein approximants and the \(\varphi\)-variation of a fuzzy random variable ⋮ Preservation properties by Bernstein-type operators. A probabilistic approach ⋮ Lototsky-Schnabl operators on the unit interval ⋮ Best constants in preservation inequalities concerning the first modulus and Lipschitz classes for Bernstein-type operators ⋮ On preservation of binomial operators ⋮ A generalization of Bernstein-Kantorovič operators ⋮ Log-concavity for Bernstein-type operators using stochastic orders ⋮ Set-valued extension of operators via Steiner selections. II: Applications to approximation.
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