Abstract
Let (vk) n1 be arbitrary fixed natural numbers satisfying the inequalities 1 ≤ 2[(vk + 1)/2] ≤ r. We prove that there exists a unique monospline of least Lp deviation in [a,b], 1 < p < ∞, among all monosplines of degree r with free knots (Xk) n1 , a < x1 < ... < xn < b, of multiplicities (vk) n1 respectively.
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Bojanov, B.D. (1979). Uniqueness of the Monosplines of Least Deviation. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_4
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DOI: https://doi.org/10.1007/978-3-0348-6288-2_4
Publisher Name: Birkhäuser, Basel
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