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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
| Content Provider | Semantic Scholar |
|---|---|
| Author | Savenko, P. O. Protsakh, Larysa P. Tkach, M. D. |
| Copyright Year | 2009 |
| Abstract | 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. |
| Starting Page | 343 |
| Ending Page | 356 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10958-009-9502-3 |
| Volume Number | 160 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/s10958-009-9502-3 |
| Alternate Webpage(s) | https://doi.org/10.1007/s10958-009-9502-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
