Extremal lattices and the construction of lattice rules

On Error Estimates in Sp for Cubature Formulas Exact for Haar Polynomials

“…For example, the approximate integration formulas of algebraic accuracy can be found in [1,2]. The cubature formulas exact for trigonometric polynomials in particular were studied in [3][4][5][6][7].…”

A Component-by-Component Construction for the Trigonometric Degree

“…Figure 1 shows the Fourier space for the trigonometric degree, as well as for the product trigonometric degree, which measures the distance in the ∞-norm, to be used in the next section. The trigonometric degree and similar quantities, originating in the Russian literature, have been studied in many Western publications, some of them by James Lyness [6,16,17,18]; other references are [1,11,10,7,3,2,8,9,5,23].…”