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Interpolation spaces and interpolation methods [PDF]
Abstract : A study is made of the general structure of all possible interpolation methods. For some applications intermediate spaces between two given Banach spaces for which such a general interpolation method exists are characterized. The relevant intermediate spaces are those which are called interpolation spaces between two given Banach spaces. The
Emilio Gagliardo, Nachman Aronszajn
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Calcolo, 1993
Let \(f \in C^ 1[- 1,1]\) with the usual norm \(\max (\| f \|_ \infty, \| f' \|_ \infty)\) and let \(H_{2n} (f)\) be the Hermite interpolation polynomial of degree at most \(2n - 1\) interpolating \(f\) and \(f'\) at the zeros \(x_ k\), \(k = 1, \dots, n\) of the Jacobi polynomial with weight \((1 - x)^ \alpha (1 + x)^ \beta\), \(\alpha, \beta > - 1\),
DELLA VECCHIA, Biancamaria+1 more
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Let \(f \in C^ 1[- 1,1]\) with the usual norm \(\max (\| f \|_ \infty, \| f' \|_ \infty)\) and let \(H_{2n} (f)\) be the Hermite interpolation polynomial of degree at most \(2n - 1\) interpolating \(f\) and \(f'\) at the zeros \(x_ k\), \(k = 1, \dots, n\) of the Jacobi polynomial with weight \((1 - x)^ \alpha (1 + x)^ \beta\), \(\alpha, \beta > - 1\),
DELLA VECCHIA, Biancamaria+1 more
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On the trigonometric interpolation and the entire interpolation
Approximation Theory and its Applications, 1990In this paper, we study a kind of interpolation problems on a given nodal set by trigonometric polynomials of order n and entire functions of exponential type according as the nodal set is $$\left\{ {\frac{{2k\pi }}{n}} \right\}_{k = 0}^{n - 1} or \left\{ {\frac{{2k\pi ...
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Interpolation between W Dopant and Co Vacancy in CoOOH for Enhanced Oxygen Evolution Catalysis
Advanced Materials, 2022Yuhai Dou, Ding Yuan, Kaicai Fan
exaly
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2021
Wenbo Bao, Wei-sheng Lai, Xiaoyun Zhang
exaly
Wenbo Bao, Wei-sheng Lai, Xiaoyun Zhang
exaly
Comparison of six methods for the interpolation of daily, European climate data
Journal of Geophysical Research, 2008Nynke Hofstra, Mark New, Phil Jones
exaly