Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra

We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space. We prove that the function space integral and the integral transform of the partial derivative i...

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Detalles Bibliográficos
Autor principal: Young Sik, Kim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597106/
https://www.ncbi.nlm.nih.gov/pubmed/33286815
http://dx.doi.org/10.3390/e22091047
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author Young Sik, Kim
author_facet Young Sik, Kim
author_sort Young Sik, Kim
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description We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space. We prove that the function space integral and the integral transform of the partial derivative in some Banach algebra can be expanded as the limit of a sequence of function space integrals.
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spelling pubmed-75971062020-11-09 Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra Young Sik, Kim Entropy (Basel) Article We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space. We prove that the function space integral and the integral transform of the partial derivative in some Banach algebra can be expanded as the limit of a sequence of function space integrals. MDPI 2020-09-18 /pmc/articles/PMC7597106/ /pubmed/33286815 http://dx.doi.org/10.3390/e22091047 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Young Sik, Kim
Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title_full Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title_fullStr Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title_full_unstemmed Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title_short Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra
title_sort partial derivative approach to the integral transform for the function space in the banach algebra
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7597106/
https://www.ncbi.nlm.nih.gov/pubmed/33286815
http://dx.doi.org/10.3390/e22091047
work_keys_str_mv AT youngsikkim partialderivativeapproachtotheintegraltransformforthefunctionspaceinthebanachalgebra

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