Numerical Approximation of Real Finite Nonnegative Function by the Modulus of Discrete Fourier Transform - Applied Mathematics

AM > Vol.1 No.1, May 2010

Applied Mathematics

Volume 1, Issue 1 (May 2010)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Numerical Approximation of Real Finite Nonnegative Function by the Modulus of Discrete Fourier Transform ()

HTML

Download as PDF (Size: 325KB) PP. 65-75

DOI: 10.4236/am.2010.11008 4,156 Downloads 8,113 Views Citations

Author(s)

Petro Savenko, Myroslava Tkach

Affiliation(s)

Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine.

ABSTRACT

The numerical algorithms for finding the lines of branching and branching-off solutions of nonlinear problem on mean-square approximation of a real finite nonnegative function with respect to two variables by the modulus of double discrete Fourier transform dependent on two parameters, are constructed and justified.

KEYWORDS

Mean-Square Approximation, Discrete Fourier Transform, Two-Dimensional Nonlinear Integral Equation, Nonuniqueness And Branching of Solutions

Share and Cite:

P. Savenko and M. Tkach, "Numerical Approximation of Real Finite Nonnegative Function by the Modulus of Discrete Fourier Transform," Applied Mathematics, Vol. 1 No. 1, 2010, pp. 65-75. doi: 10.4236/am.2010.11008.

Cited by

[1]	Advanced Methods for Solving Nonlinear Eigenvalue Problems of Generalized Phase Optimization
	2022

[2]	Antenna Synthesis through the Characteristics of Desired Amplitude
	2019

[3]	Investigation of the Branching of Solutions of the Problems of Synthesis of Radiating Systems with Flat Aperture According to a Given Amplitude Directivity Pattern
	2019

[4]	Дослідження галуження розв'язків задач синтезу випромінюючих систем з плоским розкривом за заданою амплітудною діаграмою напрямленості
	2018

[5]	Numerical and Analytical Investigations of Nonlinear Synthesis Problems of Antenna with the Flat Radiating Aperture
	2016

[6]	About the branching of real solutions of the second type in synthesis problems of radiating systems with a flat aperture
	2016

[7]	ONE METHOD OF SOLVING LINEAR MULTIPARAMETER EIGENVALUE PROBLEM
	Journal of Basic and Applied Research International, 2015

[8]	Stability of the solutions of problems with free phase
	Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2013 XVIIIth International Seminar/Workshop on. IEEE, 2013

[9]	Computational Methods in the Theory of Synthesis of Radio and Acoustic Radiating Systems
	Applied Mathematics, 2013

[10]	Branching of solutions for the problem of mean-square approximation of a real finite function of two variables by the modulus of double Fourier transformation
	Journal of Mathematical Sciences, 2012

[11]	Numerical Algorithms of Finding the Branching Lines and Bifurcation Points of Solutions for One Class of Nonlinear Integral Equations
	2012

[12]	Numerical Solution of Mean-Square Approximation Problem of Real Nonnegative Function by the Modulus of Double Fourier Integral
	Applied Mathematics, 2011

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies