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Let Λα (0 < α < 1) be the Hölder class on the semi-axis [0, ∞). We characterize the class Λ∞ by rates of approximation of its functions by entire functions of order 1/2 belonging to a special class (similarly to the classical Jackson-Bernstein theorem).
Original language | English |
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Pages (from-to) | 2979-2985 |
Number of pages | 7 |
Journal | Journal of Mathematical Sciences |
Volume | 110 |
Issue number | 5 |
DOIs | |
State | Published - 2002 |
ID: 86660623