Some remarks about the connection between fractional divided differences, fractional B-splines, and the Hermite - Genocchi formula

Peter Massopust; Brigitte Forster

doi:10.1142/S0219691308002343

Some remarks about the connection between fractional divided differences, fractional B-splines, and the Hermite - Genocchi formula

Peter Massopust, Brigitte Forster

Computation, Information and Technology

Helmholtz Zentrum München German Research Center for Environmental Health

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Fractional B-splines are a natural extension of classical B-splines. In this short paper, we show their relations to fractional divided differences and fractional difference operators, and present a generalized Hermite - Genocchi formula. This formula then allows the definition of a larger class of fractional B-splines.

Original language	English
Pages (from-to)	279-290
Number of pages	12
Journal	International Journal of Wavelets, Multiresolution and Information Processing
Volume	6
Issue number	2
DOIs	https://doi.org/10.1142/S0219691308002343
State	Published - Mar 2008

Keywords

Difference operators
Divided differences
Fractional B-splines
Hermite - Genocchi formula

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abstract = "Fractional B-splines are a natural extension of classical B-splines. In this short paper, we show their relations to fractional divided differences and fractional difference operators, and present a generalized Hermite - Genocchi formula. This formula then allows the definition of a larger class of fractional B-splines.",

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KW - Divided differences

KW - Fractional B-splines

KW - Hermite - Genocchi formula

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Some remarks about the connection between fractional divided differences, fractional B-splines, and the Hermite - Genocchi formula

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Keywords

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