by E.R. Kretzmer. / Includes bibliographical references. / Army Signal Corps Contract no. W-36-039 sc-32037.

Thesis (Ph.D.)--Ohio University, August, 2009. / Release of full electronic text on OhioLINK has been delayed until June 1, 2012. Includes bibliographical references (leaves 63-66)

Thesis (Ph.D.)--Ohio University, August, 2009. / Title from PDF t.p. Release of full electronic text on OhioLINK has been delayed until June 1, 2012. Includes bibliographical references (leaves 63-66)

On presente une generalisation d'un resultat de Wallin ainsi qu'une caracterisation des ensembles compacts polaires dans un espace de Brelot. Ces resultats se generalisent a un produit de n espaces de Brelot en demontrant la continuite des fonctions multireduites. On en deduit qu'un ensemble localement n polaire est un ensemble in polaire. Des resultats semblebles ont lieu pour une sous-classe des ensembles pluripolaires dans un domaine hyperconvexe et borne de C('n).

Thesis (Ph.D.)--Kent State University, 2008. / Title from PDF t.p. (viewed Jan. 26, 2010). Advisor: Joseph Diestel. Keywords: absolute continiuty, range of a vector measure. Includes bibliographical references (p. 40-41).

It is the purpose of this paper to study the approximation to real functions by certain power series. Specifically, Taylor's series and generalizations of Taylor's series are considered. The importance of the behavior of the remainder, defined in chapter 1, demands a study of the difference between a function and the terms of an approximation sequence. Thus, this paper is devoted to the presentation of various forms of the remainder term when the approximation is by Taylor's expansion or some of its generalizations. / "May, 1955." / Typescript. / Advisor: B. F. Hadmot, Professor Directing Paper. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaves 72-73).

No description available.

Thesis (Ph. D.)--University of Missouri-Columbia, 2003. / Typescript. Vita. Includes bibliographical references (leaves 65-68). Also available on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 2003. / Typescript. Vita. Includes bibliographical references (leaves 65-68). Also available on the Internet.

In this paper, we study continuous functions with no finite or infinite one-sided derivative anywhere. In 1925, A. S. Beskovitch published an example of such a function. Since then we call them Beskovitch functions. This construction is presented in chapter 2, The example was simple enough to clear the doubts about the existence of Besicovitch functions. In 1932, S. Saks showed that the set of Besicovitch functions is only a meager set in C[0,1]. Thus the Baire category method for showing the existence of Besicovitch functions cannot be directly applied. A. P. Morse in 1938 constructed Besicovitch functions. In 1984, Maly revived the Baire category method by finding a non-empty compact subspace of (C[0,1], || • ||) with respect to which the set of Morse-Besicovitch functions is comeager.