New time scale generalizations of the Ostrowski-Grüss type inequality for k points

Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases...

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Autores principales: Nwaeze, Eze R, Kermausuor, Seth, Tameru, Ana M
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5626822/
https://www.ncbi.nlm.nih.gov/pubmed/29051692
http://dx.doi.org/10.1186/s13660-017-1525-6
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author Nwaeze, Eze R
Kermausuor, Seth
Tameru, Ana M
author_facet Nwaeze, Eze R
Kermausuor, Seth
Tameru, Ana M
author_sort Nwaeze, Eze R
collection PubMed
description Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text] . In addition, we apply our results to the continuous, discrete, and quantum time scales to obtain several novel inequalities in this direction.
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spelling pubmed-56268222017-10-17 New time scale generalizations of the Ostrowski-Grüss type inequality for k points Nwaeze, Eze R Kermausuor, Seth Tameru, Ana M J Inequal Appl Research Two Ostrowski-Grüss type inequalities for k points with a parameter [Formula: see text] are hereby presented. The first generalizes a recent result due to Nwaeze and Tameru, and the second extends the result of Liu et al. to k points. Many new interesting inequalities can be derived as special cases of our results by considering different values of λ and [Formula: see text] . In addition, we apply our results to the continuous, discrete, and quantum time scales to obtain several novel inequalities in this direction. Springer International Publishing 2017-10-03 2017 /pmc/articles/PMC5626822/ /pubmed/29051692 http://dx.doi.org/10.1186/s13660-017-1525-6 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
Nwaeze, Eze R
Kermausuor, Seth
Tameru, Ana M
New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title_full New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title_fullStr New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title_full_unstemmed New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title_short New time scale generalizations of the Ostrowski-Grüss type inequality for k points
title_sort new time scale generalizations of the ostrowski-grüss type inequality for k points
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5626822/
https://www.ncbi.nlm.nih.gov/pubmed/29051692
http://dx.doi.org/10.1186/s13660-017-1525-6
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AT kermausuorseth newtimescalegeneralizationsoftheostrowskigrusstypeinequalityforkpoints
AT tameruanam newtimescalegeneralizationsoftheostrowskigrusstypeinequalityforkpoints

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