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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 1(18), Pages 169–174
DOI: https://doi.org/10.14498/vsgtu654 (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
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DOI: https://doi.org/10.14498/vsgtu654
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.
Original article submitted 24/X/2008
revision submitted – 13/II/2009
Bibliographic databases:
Document Type: Article
UDC: 517.587:519.216
MSC: 93B40, 42C05, 33C45
Language: Russian
Citation: l. A. Lyozin, “Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(18) (2009), 169–174
Citation in format AMSBIB
\Bibitem{Lyo09}
\by l.~A.~Lyozin
\paper Approximation of Double-dimensional Densities of Probabilities by Orthogonal Bases
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 1(18)
\pages 169--174
\mathnet{http://mi.mathnet.ru/vsgtu654}
\crossref{https://doi.org/10.14498/vsgtu654}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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