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Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space L2(Γ², e-x²-y²)

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We give an exact estimate of the deviation of the "triangular" partial sums of the double Fourier-Hermite series of functions of the class Lr2(D) in the space L2(Γ², e-x²-y²).

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Authors and Affiliations

  1. Dagestan State University, Russia, 367025 Makhachkala, ul. M. Gadzhieva 43a

    V. A. Abilov

  2. Dagestan State Technical University, Russia, 367015 Makhachkala, pr. Kalinina 70

    M. V. Abilov

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  1. V. A. Abilov
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  2. M. V. Abilov
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Abilov, V., Abilov, M. Certain problems of the approximation of functions in two variables by Fourier-Hermite sums in the space L2(Γ², e-x²-y²). Anal Math 32, 163–171 (2006). https://doi.org/10.1007/s10476-006-0009-6

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  • DOI: https://doi.org/10.1007/s10476-006-0009-6

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