Ostrowski and Grüss inequalities on time scales

Author

Thomas Matthews

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.

Rights

© 2007 Thomas Matthews, All rights reserved.

Document Type

Thesis - Citation

File Type

text

Language

English

Subject Headings

Inequalities (Mathematics)
Time-series analysis -- Mathematical models

Thesis Number

T 9229

Print OCLC #

239427575

Link to Catalog Record

Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.

Recommended Citation

Matthews, Thomas, "Ostrowski and Grüss inequalities on time scales" (2007). Masters Theses. 5964.
https://scholarsmine.mst.edu/masters_theses/5964