TY - JOUR

T1 - Some orthogonalities in approximation theory

AU - Zhuk, A.S.

AU - Zhuk, V.V.

PY - 2006

Y1 - 2006

N2 - In approximation theory, a number of quantities are interrelated via orthogonal transformations. The revelation of these orthogonalities allows one to obtain useful relations and, in particular, to use known theorems on the Fourier coefficients. The paper considers this approach in application to the Fourier transforms of finite functions, to the best L2-approximations, and to trigonometric polynomials with coefficients in a vector space.

AB - In approximation theory, a number of quantities are interrelated via orthogonal transformations. The revelation of these orthogonalities allows one to obtain useful relations and, in particular, to use known theorems on the Fourier coefficients. The paper considers this approach in application to the Fourier transforms of finite functions, to the best L2-approximations, and to trigonometric polynomials with coefficients in a vector space.

U2 - 10.1007/s10958-006-0078-x

DO - 10.1007/s10958-006-0078-x

M3 - Article

VL - 133

SP - 1652

EP - 1674

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -