A higher order Sobolev-type inner product for orthogonal polynomials in several variables

Herbert Dueñas; Luis E. Garza; Miguel Piñar

doi:10.1007/s11075-014-9836-x

A higher order Sobolev-type inner product for orthogonal polynomials in several variables

Herbert Dueñas, Luis E. Garza^*, Miguel Piñar

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We consider polynomials in several variables orthogonal with respect to a Sobolev-type inner product, obtained from adding a higher order gradient evaluated in a fixed point to a standard inner product. An expression for these polynomials in terms of the orthogonal family associated with the standard inner product is obtained. A particular case using polynomials in the unit ball is analyzed, and some asymptotic results are derived.

Original language	English
Pages (from-to)	35-46
Number of pages	12
Journal	Numerical Algorithms
Volume	68
Issue number	1
DOIs	https://doi.org/10.1007/s11075-014-9836-x
Publication status	Published - 1 Jan 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014, Springer Science+Business Media New York.

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1007/s11075-014-9836-x

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A higher order Sobolev-type inner product for orthogonal polynomials in several variables

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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