Eigenvalues of the mean sigma and weighted mean integral operators related to a Gronwall inequality.

Author

Jeffrey R. Kroll

Date of Award

11-1-1969

Document Type

Thesis

Degree Name

Master of Arts (MA)

Department

Mathematics

First Advisor

Dr. Keith P. Smith

Abstract

In their paper, Schmaedeke and Sell have established a Gronwall inequality which holds for the Stieiltjes mean sigma and Dushnik iptegrals. In Chapter 2, we shall investigate an eigenvalue problem related to the Gronwall inequality for the Stieltjes mean sigma integral. In Chapter 3, we shall extend the results in [1] to the weighted refinement Stieltjes integral introduced by F. M. Wright and J. D. Baker [2].

Comments

A Thesis Presented to the Department of Mathematics and the Faculty of the Graduate College University of Nebraska In Partial Fulfillment of the Requirements for the Degree Master of Arts University of Nebraska at Omaha. Copyright 1969 Jeffrey R. Kroll

Recommended Citation

Kroll, Jeffrey R., "Eigenvalues of the mean sigma and weighted mean integral operators related to a Gronwall inequality." (1969). Student Work. 3552.
https://digitalcommons.unomaha.edu/studentwork/3552