American Journal of Science, Engineering and Technology
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American Journal of Science, Engineering and Technology
ISSN Online: 2578-8353 ISSN Print: 2578-8345
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Dear Gonzalo A. Benavides;Leonardo E. Fi...,
Hope you are doing well.
We get to know your valuable article under the title of Orthogonal
polynomial projection error in Dunkl-Sobolev norms in the ball, which has
been published in Classical Analysis and ODEs, and the topic of the paper
has impressed us a lot.
The article has attracted much attention from researchers specializing in
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Your paper's title and abstract can be seen in the following part:
The title of the paper: Orthogonal polynomial projection error in
Dunkl-Sobolev norms in the ball
The abstract of the paper: We study approximation properties of weighted
$\mathrm{L}^2$-orthogonal projectors onto spaces of polynomials of bounded
degree in the Euclidean unit ball, where the weight is of the
reflection-invariant form $(1-\lVert x \rVert^2)^α\prod_{i=1}^d \lvert x_i
\rvert^{γ_i}$, $α, γ_1, \dots, γ_d > -1$. Said properties are measured in
Dunkl-Sobolev-type norms in which the same weighted $\mathrm{L}^2$ norm is
used to control all the involved differential-difference Dunkl operators,
such as those appearing in the Sturm-Liouville characterization of
similarly weighted $\mathrm{L}^2$-orthogonal polynomials, as opposed to the
partial derivatives of Sobolev-type norms. The method of proof relies on
spaces instead of bases of orthogonal polynomials, which greatly simplifies
the exposition. △ Less
Any questions are welcome. Please do not hesitate to let us know.
Best,
Editorial Assistant of American Journal of Science, Engineering and
Technology
American Journal of Science, Engineering and Technology http://www.ajoset.com/ I received the following suspicious mail inviting me to submit my work and become an editorial board member (I attach the plain text, not the html formatted)