Upper bounds for uniform Lebesgue constants of interpolation periodic sourcewise representable splines


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Upper bounds for Lebesgue constants (norms of linear operators from C to C) of interpolation periodic sourcewise representable splines with uniform knots are obtained for a wide class of periodic integrable kernels K.

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V. Shevaldin

Krasovskii Institute of Mathematics and Mechanics; Ural Federal University

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Email: Valerii.Shevaldin@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620002

O. Shevaldina

Ural Federal University

Email: Valerii.Shevaldin@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620002

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