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Divergence of the greedy algorithm in the Faber-Schauder system on a continuum cardinality set |
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| Authors: | A A Sargsyan |
| Institution: | (1) Yerevan State University, Armenia |
| Abstract: | The paper establishes that there exist a continuum cardinality set E 0 ? 0, 1] and a function f 0(x) ∈ C 0,1], such that the greedy algorithm of f 0(x) with respect to the Faber-Schauder system converges to +∞ at all points of E 0. |
| Keywords: | 42C10 42C15 |
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