Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity

By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal. 9(2):481–487, 2015) have also been obtained. Moreover, from the...

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Detalles Bibliográficos
Autores principales: Fahad, Asfand, Pečarić, Josip, Imran Qureshi, Muhammad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154077/
https://www.ncbi.nlm.nih.gov/pubmed/30839666
http://dx.doi.org/10.1186/s13660-018-1826-4
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author Fahad, Asfand
Pečarić, Josip
Imran Qureshi, Muhammad
author_facet Fahad, Asfand
Pečarić, Josip
Imran Qureshi, Muhammad
author_sort Fahad, Asfand
collection PubMed
description By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal. 9(2):481–487, 2015) have also been obtained. Moreover, from these inequalities, we formulate linear functionals and describe their properties.
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spelling pubmed-61540772018-10-10 Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity Fahad, Asfand Pečarić, Josip Imran Qureshi, Muhammad J Inequal Appl Research By using a Lidstone interpolation, Green’s function and Montogomery’s identity, we prove a new generalization of Steffensen’s inequality. Some related inequalities providing generalizations of certain results given in (J. Math. Inequal. 9(2):481–487, 2015) have also been obtained. Moreover, from these inequalities, we formulate linear functionals and describe their properties. Springer International Publishing 2018-09-12 2018 /pmc/articles/PMC6154077/ /pubmed/30839666 http://dx.doi.org/10.1186/s13660-018-1826-4 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
Fahad, Asfand
Pečarić, Josip
Imran Qureshi, Muhammad
Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title_full Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title_fullStr Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title_full_unstemmed Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title_short Generalized Steffensen’s inequality by Lidstone interpolation and Montogomery’s identity
title_sort generalized steffensen’s inequality by lidstone interpolation and montogomery’s identity
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154077/
https://www.ncbi.nlm.nih.gov/pubmed/30839666
http://dx.doi.org/10.1186/s13660-018-1826-4
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