48 citations · 191 across the 37 of their papers we have counts for
5 papers · 1 filter
Remarks on numerical integration, discrepancy, and diaphony
V. N. Temlyakov
The goal of this paper is twofold. First, we present a unified way of formulating numerical integration problems from both approximation theory and discrepancy theory. Second, we s…
Fixed volume discrepancy in the periodic case
V. N. Temlyakov
The smooth fixed volume discrepancy in the periodic case is studied here. It is proved that the Frolov point sets adjusted to the periodic case have optimal in a certain sense orde…
Aspects of 2D-Adaptive Fourier Decompositions
You Gao, Tao Qian, Vladimir Temlyakov +1
As a new type of series expansion, the so-called one-dimensional adaptive Fourier decomposition (AFD) and its variations (1D-AFDs) have effective applications in signal analysis an…
Universal discretization
V. N. Temlyakov
The paper is devoted to discretization of integral norms of functions from a given collection of finite dimensional subspaces. For natural collections of subspaces of the multivari…
The Marcinkiewicz-type discretization theorems for the hyperbolic cross polynomials
V. N. Temlyakov
The main goal of this paper is to study the discretization problem for the hyperbolic cross trigonometric polynomials. This important problem turns out to be very difficult. In thi…