RUS  ENG
Full version
JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009 Issue 1(18), Pages 169–174 (Mi vsgtu654)

Mathematical Modeling

Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases

l. A. Lyozin

S. P. Korolyov Samara State Aerospace University. Dept. of Information System and Technology

Abstract: Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas of approximation coefficients are quoted at different bases by using primary spline approximation of input data, as well as the meaning of methodical deviation at selected values of scale and transmission coefficients.

Keywords: approximation, orthogonal basis, double-dimensional function, approximation coefficient, density of probabilities, double-dimensional spline.

UDC: 517.587:519.216

MSC: 93B40, 42C05, 33C45

Original article submitted 24/X/2008
revision submitted – 13/II/2009

DOI: 10.14498/vsgtu654



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026