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Displaying similar documents to “On a necessary condition for interpolation by functions in the Lipschitz class.”

Finite interpolation on sequences in the disc

Laia Tugores (2025)

Archivum Mathematicum

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This note deals with interpolation of values of analytic functions belonging to a given space, on finite sets of consecutive points of sequences in the disc, performed by rational functions and polynomials. Our goal is to identify sequences and spaces whose functions provide a bound of the error at the first uninterpolated point that is as small as desired. For certain sequences, we prove that this happens for bounded functions, Lipschitz functions and those that have derivatives in...

Characterization of some interpolation spaces (I)

Alessandra Lunardi (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Si calcolano alcuni spazi di interpolazione fra spazi di funzioni hölderiane.

Three ways of interpolation on finite elements

Šolín, Pavel, Segeth, Karel

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Interpolation on finite elements usually occurs in a Hilbert space setting, which means that interpolation techniques involving orthogonal projection are an alternative for the traditional Lagrange nodal interpolation schemes. In addition to the Lagrange interpolation, this paper discusses the global orthogonal projection and the projection-based interpolation. These techniques are compared from the point of view of quality, efficiency, sensitivity to input parameters and other aspects....

On interpolation in NEXT(KB.Alt(2))

Zofia Kostrzycka (2018)

Bulletin of the Section of Logic

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We prove that there is infinitely many tabular modal logics extending KB.Alt(2) which have interpolation.