Article |
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Article name |
Restrictive Inequalities Derived from Checkerboard Lattice |
Authors |
Batukhtina I.Y.Candidate of Physics and Mathematics batuhtina_ir@mail.ruBatukhtin A.G.Candidate of Engineering batuhtina_ir@mail.ru |
Bibliographic description |
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Section |
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DOI |
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UDK |
УДК 517.51 |
Article type |
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Annotation |
For approximating the operators of the form Ln : C([0, 1]r) → Pn (n – the dimension
of the approximating space), for which condition, Ln(1, x) = 1, an estimate of d(Ln) ≥ 1
2 r√4
n−2/r + o(n−2/r), where d(Ln) =
Ln(|t − x|2, x)
.
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Key words |
Keywords: approximating operators, approximate estimates, packing of spheres, chess
packaging, cubic lattice. |
Article information |
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References |
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Full article | Restrictive Inequalities Derived from Checkerboard Lattice |