Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space L sub(2)( Gamma [sup2 ], e super(-x) super([sup2 ]) super(-y) super([sup2 ]))
We give an exact estimate of the deviation of the "triangular" partial sums of the double Fourier-Hermite series of functions of the class L super(r) sub(2)(D) in the space L sub(2)( Gamma [sup2 ], e super(-x) super([sup2 ]) super(-y) super([sup2 ])).
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| Veröffentlicht in: | Analysis mathematica (Budapest) 2006-09, Vol.32 (3), p.163-171 |
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| container_end_page | 171 |
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| container_issue | 3 |
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| container_title | Analysis mathematica (Budapest) |
| container_volume | 32 |
| creator | Abilov, V A Abilov, M V |
| description | We give an exact estimate of the deviation of the "triangular" partial sums of the double Fourier-Hermite series of functions of the class L super(r) sub(2)(D) in the space L sub(2)( Gamma [sup2 ], e super(-x) super([sup2 ]) super(-y) super([sup2 ])). |
| doi_str_mv | 10.1007/s10476-006-0009-6 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0133-3852 |
| ispartof | Analysis mathematica (Budapest), 2006-09, Vol.32 (3), p.163-171 |
| issn | 0133-3852 1588-273X |
| language | eng |
| recordid | cdi_proquest_miscellaneous_818830242 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Approximation Deviation Estimates Mathematical analysis Mathematical models Sums |
| title | Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space L sub(2)( Gamma [sup2 ], e super(-x) super([sup2 ]) super(-y) super([sup2 ])) |
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