Ostrowski and Grüss inequalities on time scales
"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, leaf iii.
Bohner, Martin, 1966-
MacSithigh, G. P.
Mathematics and Statistics
M.S. in Applied Mathematics
University of Missouri--Rolla
vi, 47 leaves
© 2007 Thomas Matthews, All rights reserved.
Thesis - Citation
Library of Congress Subject Headings
Time-series analysis -- Mathematical models
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Link to Catalog Record
Full-text not available: Request this publication directly from Missouri S&T Library or contact your local library.http://laurel.lso.missouri.edu/record=b6433178~S5
Matthews, Thomas, "Ostrowski and Grüss inequalities on time scales" (2007). Masters Theses. 5964.