To numerical solution of problem on mean-square approximation of real nonnegative finite function with respect to two variables by module of double fourier transformation

To numerical solution of problem on mean-square approximation of real nonnegative finite function with respect to two variables by module of double fourier transformation

A nonlinear problem on mean-square approximation of a real finite nonnegative continuous function with respect to two variables by the module of double Fourier integral dependent on two parameters is investigated. Finding the optimum solutions (prototypes of Fourier integral) is reduced to investiga...

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Hauptverfasser: Savenko, P.O., Tkach, M.D.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Acoustics
Antenna theory
Approximation algorithms
continuous components of spectrum
Gold
Hilbert space
holomorphic operator-function
implicit function method
Integral equations
Inverse problems
Mathematics
Nonlinear equations
Nonlinear spectral problem
Prototypes
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description A nonlinear problem on mean-square approximation of a real finite nonnegative continuous function with respect to two variables by the module of double Fourier integral dependent on two parameters is investigated. Finding the optimum solutions (prototypes of Fourier integral) is reduced to investigation and numerical solution of Hammerstein type nonlinear two-dimensional integral equation. Algorithms for numerical finding the lines of branching and branching-off solutions to this equation are constructed and justified. Numerical examples are given.
doi_str_mv 10.1109/ICATT.2007.4425154
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subjects Acoustics
Antenna theory
Approximation algorithms
continuous components of spectrum
Gold
Hilbert space
holomorphic operator-function
implicit function method
Integral equations
Inverse problems
Mathematics
Nonlinear equations
Nonlinear spectral problem
Prototypes
title To numerical solution of problem on mean-square approximation of real nonnegative finite function with respect to two variables by module of double fourier transformation
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