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This article is cited in 1 scientific paper (total in 1 paper)
Analysis of a theorem on the Jackson-Stechkin inequality in the Bergman space $B_2$
M. S. Saidusajnov University of Central Asia
Abstract:
We present a refinement of a theorem of V.A. Abilov, F.V. Abilova, and M.K. Kerimov on the exact constant in a Jackson type inequality between the mean-square approximation of a function of a complex variable by Fourier series in a system orthogonal in a bounded domain and the generalized modulus of continuity of order $m\geq 1$.
Keywords:
generalized modulus of continuity, generalized translation operator, orthonormal system, Jackson-Stechkin inequality.
Received: 28.06.2018 Revised: 15.11.2018 Accepted: 19.11.2018
Citation:
M. S. Saidusajnov, “Analysis of a theorem on the Jackson-Stechkin inequality in the Bergman space $B_2$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24, no. 4, 2018, 217–224
Linking options:
https://www.mathnet.ru/eng/timm1588 https://www.mathnet.ru/eng/timm/v24/i4/p217
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Abstract page: | 140 | Full-text PDF : | 47 | References: | 30 | First page: | 1 |
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