On the best mean-square approximation of a real nonnegative finite continuous function of two variables by the modulus of a double Fourier integral. I

Autor:	P. O. Savenko, M. D. Tkach, L. P. Protsakh
Rok vydání:	2009
Předmět:	Statistics and Probability Mean square Continuous function Applied Mathematics General Mathematics Mathematical analysis Modulus Type (model theory) Integral equation Nonlinear system symbols.namesake Fourier transform symbols Mathematics
Zdroj:	Journal of Mathematical Sciences. 160:343-356
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-009-9502-3
Popis:	We study the nonlinear problem of mean-square approximation of a real finite nonnegative continuous function of two variables by the modulus of a double Fourier integral depending on two parameters. The solution of this problem is reduced to the solution of a nonlinear two-dimensional integral equation of the Hammerstein type. Numerical algorithms for determination of branching lines and branched solutions of equation are constructed and substantiated. Some numerical examples are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1e9e7bec5a8c4318f11d3c9a38145551 https://doi.org/10.1007/s10958-009-9502-3 Zobrazit plný text záznamu Plný text ve formátu PDF