A Hilbert-type fractal integral inequality and its applications

By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.

Detalles Bibliográficos
Autores principales: Liu, Qiong, Sun, Wenbing
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5400805/
https://www.ncbi.nlm.nih.gov/pubmed/28490849
http://dx.doi.org/10.1186/s13660-017-1360-9
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author Liu, Qiong
Sun, Wenbing
author_facet Liu, Qiong
Sun, Wenbing
author_sort Liu, Qiong
collection PubMed
description By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.
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spelling pubmed-54008052017-05-08 A Hilbert-type fractal integral inequality and its applications Liu, Qiong Sun, Wenbing J Inequal Appl Research By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly. Springer International Publishing 2017-04-21 2017 /pmc/articles/PMC5400805/ /pubmed/28490849 http://dx.doi.org/10.1186/s13660-017-1360-9 Text en © The Author(s) 2017 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
Liu, Qiong
Sun, Wenbing
A Hilbert-type fractal integral inequality and its applications
title A Hilbert-type fractal integral inequality and its applications
title_full A Hilbert-type fractal integral inequality and its applications
title_fullStr A Hilbert-type fractal integral inequality and its applications
title_full_unstemmed A Hilbert-type fractal integral inequality and its applications
title_short A Hilbert-type fractal integral inequality and its applications
title_sort hilbert-type fractal integral inequality and its applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5400805/
https://www.ncbi.nlm.nih.gov/pubmed/28490849
http://dx.doi.org/10.1186/s13660-017-1360-9
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