Masters Theses
Abstract
"In this paper, a new approach in mathematics is applied to some basic inequalities in discrete and continuous analysis. The method of using time scales unifies both cases. A short introduction to the theory of time scales is given. Following this primary overview, the Montgomery identity is shown and used to derive the Ostrowski inequality on time scales, which holds in general and weighted versions. Next, the Grüss inequality is generalized on time scales. Applications will be deduced from the established theorems for discrete, continuous and q-time scale. Finally, our results are compared to the ones found in the literature. Most of the achieved formulas and statements will correspond exactly with the previously mentioned cases. Nevertheless, there will be some differences in the formulation of the theorems as well as proofs"--Abstract, page iii.
Advisor(s)
Bohner, Martin, 1966-
Committee Member(s)
Akin, Elvan
MacSithigh, G. P.
Department(s)
Mathematics and Statistics
Degree Name
M.S. in Applied Mathematics
Publisher
University of Missouri--Rolla
Publication Date
Summer 2007
Pagination
vi, 47 pages
Note about bibliography
Includes bibliographical references (page 46)
Rights
© 2007 Thomas Matthews, All rights reserved.
Document Type
Thesis - Restricted Access
File Type
text
Language
English
Subject Headings
Inequalities (Mathematics)Time-series analysis -- Mathematical models
Thesis Number
T 9229
Print OCLC #
239427575
Recommended Citation
Matthews, Thomas, "Ostrowski and Grüss inequalities on time scales" (2007). Masters Theses. 5964.
https://scholarsmine.mst.edu/masters_theses/5964
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