TY - JOUR

T1 - On Two Algorithms of Wavelet Decomposition for Spaces of Linear Splines

AU - Makarov, A. A.

N1 - Makarov, A.A. On Two Algorithms of Wavelet Decomposition for Spaces of Linear Splines. J Math Sci 232, 926–937 (2018). https://doi.org/10.1007/s10958-018-3920-z

PY - 2018/8

Y1 - 2018/8

N2 - The purpose of this paper is to construct new types of wavelets for minimal splines on an irregular grid. The approach applied to construct spline-wavelet decompositions uses approximation relations as an initial structure for constructing the spaces of minimal splines. The advantages of this approach are the possibilities of using irregular grids and sufficiently arbitrary nonpolynomial spline-wavelets.

AB - The purpose of this paper is to construct new types of wavelets for minimal splines on an irregular grid. The approach applied to construct spline-wavelet decompositions uses approximation relations as an initial structure for constructing the spaces of minimal splines. The advantages of this approach are the possibilities of using irregular grids and sufficiently arbitrary nonpolynomial spline-wavelets.

UR - http://www.scopus.com/inward/record.url?scp=85049073593&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3920-z

DO - 10.1007/s10958-018-3920-z

M3 - Article

AN - SCOPUS:85049073593

VL - 232

SP - 926

EP - 937

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -