Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Miguel A. Piñar"'
Autor:
Cleonice F. Bracciali, Miguel A. Piñar
Acknowledgements The authors would like to express their gratitude to the two anonymous reviewers for their useful comments and suggestions, which improved the comprehension of the manuscript. In particular, we thank the reviewer who pointed out refe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04da593d41ce59009dceeb1c278a2e93
https://hdl.handle.net/10481/78196
https://hdl.handle.net/10481/78196
Publikováno v:
Numerical Algorithms. 87:1369-1389
In this work, a Sobolev inner product on the unit ball of $\mathbb {R}^{d}$ involving the outward normal derivative is considered. A basis of mutually orthogonal polynomials associated with this inner product is constructed in terms of spherical harm
Publikováno v:
Digibug. Repositorio Institucional de la Universidad de Granada
instname
instname
Mathematics Subject Classification. 42C05, 33C50.
The authors are grateful to the referee for his/her valuable comments and careful reading, which allowed us to improve this paper. The work of the first author (MEM) has been supported by Ministe
The authors are grateful to the referee for his/her valuable comments and careful reading, which allowed us to improve this paper. The work of the first author (MEM) has been supported by Ministe
Publikováno v:
Mediterranean Journal of Mathematics. 18
Sobolev orthogonal polynomials of d variables on the product domain $$\Omega :=[a_1,b_1]\times \cdots \times [a_d,b_d]$$ with respect to the inner product $$\begin{aligned} \left\langle f,g\right\rangle _S= c\int _\Omega \nabla ^\kappa f({\mathbf {x}
Publikováno v:
Journal of Approximation Theory. 245:40-63
Coherent pairs of measures were introduced in 1991 and constitute a very useful tool in the study of Sobolev orthogonal polynomials on the real line. In this work, coherence and partial coherence in two variables appear as the natural extension of th
Publikováno v:
Applied Mathematics and Computation. 325:340-357
We deduce new characterizations of bivariate classical orthogonal polynomials associated with a quasi-definite moment functional, and we revise old properties for these polynomials. More precisely, new characterizations of classical bivariate orthogo
Autor:
Miguel A. Piñar, Yuan Xu
Publikováno v:
IMA Journal of Numerical Analysis. 38:1209-1228
Let $E_n(f)_\mu$ be the error of best approximation by polynomials of degree at most $n$ in the space $L^2(\varpi_\mu, \mathbb{B}^d)$, where $\mathbb{B}^d$ is the unit ball in $\mathbb{R}^d$ and $\varpi_\mu(x) = (1-\|x\|^2)^\mu$ for $\mu > -1$. Our m
Publikováno v:
Journal of Mathematical Analysis and Applications. 484:123736
Given a linear functional u in the linear space of polynomials in two variables with real coefficients and a polynomial λ ( x , y ) , in this contribution we deal with Geronimus transformations of u, i.e., those linear functionals v such that u = λ
Autor:
Miguel A. Piñar, Clotilde Martínez
We present a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes a mass uniformly distributed on the sphere. First, connection formulas relating these multivariate orthogonal polynomials and the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aaecfc2036ba23825d1006fd066aa7d0
Publikováno v:
Numerical Algorithms. 68:35-46
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