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University of Nebraska at Omaha

Theses/Dissertations

1969

Mathematics

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Eigenvalues Of The Mean Sigma And Weighted Mean Integral Operators Related To A Gronwall Inequality., Jeffrey R. Kroll Nov 1969

Eigenvalues Of The Mean Sigma And Weighted Mean Integral Operators Related To A Gronwall Inequality., Jeffrey R. Kroll

Student Work

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].


Some Results Of Generalized Limits., Suzanne R. Neu Jun 1969

Some Results Of Generalized Limits., Suzanne R. Neu

Student Work

In 1915 E.H. Moore introduced the following extension of the calculus limit. If D is a set of general elements p and G is the set of all finite classes s of Elements p, then a number-valued function f = (f(s)/s) on the domain S converges to a number a if a positive implies there exists se in G such that scc implies |f(s) -a|