Generalized Jacobi–Weierstrass operators and Jacobi expansions

We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii–Stechkin type inequalities are also considered.

Detalles Bibliográficos
Autores principales: Adell, José A., Bustamante, Jorge, Merino, Juan J., Quesada, José M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6022552/
https://www.ncbi.nlm.nih.gov/pubmed/30137740
http://dx.doi.org/10.1186/s13660-018-1747-2
_version_ 1783335702698655744
author Adell, José A.
Bustamante, Jorge
Merino, Juan J.
Quesada, José M.
author_facet Adell, José A.
Bustamante, Jorge
Merino, Juan J.
Quesada, José M.
author_sort Adell, José A.
collection PubMed
description We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii–Stechkin type inequalities are also considered.
format Online
Article
Text
id pubmed-6022552
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-60225522018-07-06 Generalized Jacobi–Weierstrass operators and Jacobi expansions Adell, José A. Bustamante, Jorge Merino, Juan J. Quesada, José M. J Inequal Appl Research We present a realization for some K-functionals associated with Jacobi expansions in terms of generalized Jacobi–Weierstrass operators. Fractional powers of the operators as well as results concerning simultaneous approximation and Nikolskii–Stechkin type inequalities are also considered. Springer International Publishing 2018-06-28 2018 /pmc/articles/PMC6022552/ /pubmed/30137740 http://dx.doi.org/10.1186/s13660-018-1747-2 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Adell, José A.
Bustamante, Jorge
Merino, Juan J.
Quesada, José M.
Generalized Jacobi–Weierstrass operators and Jacobi expansions
title Generalized Jacobi–Weierstrass operators and Jacobi expansions
title_full Generalized Jacobi–Weierstrass operators and Jacobi expansions
title_fullStr Generalized Jacobi–Weierstrass operators and Jacobi expansions
title_full_unstemmed Generalized Jacobi–Weierstrass operators and Jacobi expansions
title_short Generalized Jacobi–Weierstrass operators and Jacobi expansions
title_sort generalized jacobi–weierstrass operators and jacobi expansions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6022552/
https://www.ncbi.nlm.nih.gov/pubmed/30137740
http://dx.doi.org/10.1186/s13660-018-1747-2
work_keys_str_mv AT adelljosea generalizedjacobiweierstrassoperatorsandjacobiexpansions
AT bustamantejorge generalizedjacobiweierstrassoperatorsandjacobiexpansions
AT merinojuanj generalizedjacobiweierstrassoperatorsandjacobiexpansions
AT quesadajosem generalizedjacobiweierstrassoperatorsandjacobiexpansions

Ejemplares similares