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Publication:2817276
zbMath1346.94080MaRDI QIDQ2817276
Publication date: 30 August 2016
Full work available at URL: http://stsip.org/vol13/vol13no2pp189-206.html
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functions of bounded variationabsolutely continuous functionsShannon sampling seriesvariation detracting property
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)
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Uniform approximation by multivariate quasi-projection operators ⋮ A characterization of the convergence in variation for the generalized sampling series ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Multidimensional sampling-Kantorovich operators in \textit{BV}-spaces ⋮ Variation diminishing-type properties for multivariate sampling Kantorovich operators ⋮ Approximation by multivariate quasi-projection operators and Fourier multipliers
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