Displaying similar documents to “Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes.”

UR Birkhoff interpolation with rectangular sets of derivatives

Nicolae Crainic (2004)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we characterize the regular UR Birkhoff interpolation schemes ( U = uniform, R = rectangular sets of nodes) with rectangular sets of derivatives, and beyond.

Interpolation of the measure of non-compactness between quasi-Banach spaces.

Pedro Fernández Martínez (2006)

Revista Matemática Complutense

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We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.