On Weighted Montgomery Identity for k Points and Its Associates on Time Scales
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-30
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The purpose of this paper is to establish a weighted Montgomery identity for k points and then use this identity to prove a new weighted Ostrowski type inequality.
Our results boil down to the results of Liu and Ngô if we take the weight function to be the identity map.
In addition, we also generalize an inequality of Ostrowski-Grüss type on time scales for k points.
For k=2, we recapture a result of Tuna and Daghan.
Finally, we apply our results to the continuous, discrete, and quantum calculus to obtain more results in this direction.
American Psychological Association (APA)
Nwaeze, Eze R.& Tameru, Ana M.. 2017. On Weighted Montgomery Identity for k Points and Its Associates on Time Scales. Abstract and Applied Analysis،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1120829
Modern Language Association (MLA)
Nwaeze, Eze R.& Tameru, Ana M.. On Weighted Montgomery Identity for k Points and Its Associates on Time Scales. Abstract and Applied Analysis No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1120829
American Medical Association (AMA)
Nwaeze, Eze R.& Tameru, Ana M.. On Weighted Montgomery Identity for k Points and Its Associates on Time Scales. Abstract and Applied Analysis. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1120829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1120829