Opial inequality in q-calculus

In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type.

Detalles Bibliográficos
Autores principales: Mirković, Tatjana Z., Tričković, Slobodan B., Stanković, Miomir S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294817/
https://www.ncbi.nlm.nih.gov/pubmed/30839902
http://dx.doi.org/10.1186/s13660-018-1928-z
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author Mirković, Tatjana Z.
Tričković, Slobodan B.
Stanković, Miomir S.
author_facet Mirković, Tatjana Z.
Tričković, Slobodan B.
Stanković, Miomir S.
author_sort Mirković, Tatjana Z.
collection PubMed
description In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type.
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spelling pubmed-62948172018-12-28 Opial inequality in q-calculus Mirković, Tatjana Z. Tričković, Slobodan B. Stanković, Miomir S. J Inequal Appl Research In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type. Springer International Publishing 2018-12-14 2018 /pmc/articles/PMC6294817/ /pubmed/30839902 http://dx.doi.org/10.1186/s13660-018-1928-z 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
Mirković, Tatjana Z.
Tričković, Slobodan B.
Stanković, Miomir S.
Opial inequality in q-calculus
title Opial inequality in q-calculus
title_full Opial inequality in q-calculus
title_fullStr Opial inequality in q-calculus
title_full_unstemmed Opial inequality in q-calculus
title_short Opial inequality in q-calculus
title_sort opial inequality in q-calculus
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294817/
https://www.ncbi.nlm.nih.gov/pubmed/30839902
http://dx.doi.org/10.1186/s13660-018-1928-z
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AT stankovicmiomirs opialinequalityinqcalculus

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