Date of Award
Master of Arts (MA)
Dr. Keith P. Smith
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  to the weighted refinement Stieltjes integral introduced by F. M. Wright and J. D. Baker .
Kroll, Jeffrey R., "Eigenvalues of the mean sigma and weighted mean integral operators related to a Gronwall inequality." (1969). Student Work. 3552.