New Poisson–Sch type inequalities and their applications in quantum calculus

The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of improved Poisson–Sch type inequalities are ob...

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Detalles Bibliográficos
Autores principales: Liu, Tao, Chen, Xinjuan, Xing, Yifan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061541/
https://www.ncbi.nlm.nih.gov/pubmed/30137887
http://dx.doi.org/10.1186/s13660-018-1735-6
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author Liu, Tao
Chen, Xinjuan
Xing, Yifan
author_facet Liu, Tao
Chen, Xinjuan
Xing, Yifan
author_sort Liu, Tao
collection PubMed
description The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of improved Poisson–Sch type inequalities are obtained by using the generalized Montgomery identity associated with the Schrödinger operator. As applications in quantum calculus, we estimate the size of weighted Schrödingerean harmonic Bergman functions in the upper half space.
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spelling pubmed-60615412018-08-09 New Poisson–Sch type inequalities and their applications in quantum calculus Liu, Tao Chen, Xinjuan Xing, Yifan J Inequal Appl Research The Poisson type inequalities, which were improved by Shu, Chen, and Vargas-De-Teón (J. Inequal. Appl. 2017:114, 2017), are generalized by using Poisson identities involving modified Poisson kernel functions with respect to a cone. New generalizations of improved Poisson–Sch type inequalities are obtained by using the generalized Montgomery identity associated with the Schrödinger operator. As applications in quantum calculus, we estimate the size of weighted Schrödingerean harmonic Bergman functions in the upper half space. Springer International Publishing 2018-07-03 2018 /pmc/articles/PMC6061541/ /pubmed/30137887 http://dx.doi.org/10.1186/s13660-018-1735-6 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
Liu, Tao
Chen, Xinjuan
Xing, Yifan
New Poisson–Sch type inequalities and their applications in quantum calculus
title New Poisson–Sch type inequalities and their applications in quantum calculus
title_full New Poisson–Sch type inequalities and their applications in quantum calculus
title_fullStr New Poisson–Sch type inequalities and their applications in quantum calculus
title_full_unstemmed New Poisson–Sch type inequalities and their applications in quantum calculus
title_short New Poisson–Sch type inequalities and their applications in quantum calculus
title_sort new poisson–sch type inequalities and their applications in quantum calculus
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061541/
https://www.ncbi.nlm.nih.gov/pubmed/30137887
http://dx.doi.org/10.1186/s13660-018-1735-6
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AT chenxinjuan newpoissonschtypeinequalitiesandtheirapplicationsinquantumcalculus
AT xingyifan newpoissonschtypeinequalitiesandtheirapplicationsinquantumcalculus

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