48 citations · 191 across the 37 of their papers we have counts for
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Remez-type inequalities for the hyperbolic cross polynomials
V. Temlyakov, S. Tikhonov
In this paper we study the Remez-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between the Remez and Nikolskii inequalit…
On orders of approximation functions of generalized smoothness in Lorentz spaces
G. Akishev
This paper considers the Lorentz space with mixed norm of periodic functions of many variables and of the generalized Nikol'skii -- Besov classes. Estimates for the order of approx…
On the entropy numbers of the mixed smoothness function classes
V. Temlyakov
Behavior of the entropy numbers of classes of multivariate functions with mixed smoothness is studied here. This problem has a long history and some fundamental problems in the are…
Hyperbolic Cross Approximation
Dinh Dũng, Vladimir N. Temlyakov, Tino Ullrich
Hyperbolic cross approximation is a special type of multivariate approximation. Recently, driven by applications in engineering, biology, medicine and other areas of science new ch…