Date of Award

2006

Document Type

Dissertation/Thesis

Submission Date

October 2026

Abstract

Definitions of convergence range from very strong (such as the concept of uniform convergence) to weaker and weaker versions like convergence in measure. We shall give a background in integration, measure theory, and convergence; then we move on to define convergence in measure with speed. We define three versions of convergence in measure with speed with an inner speed factor, an outer speed factor, and one with both speed factors. We then give examples of functions that fall under each of these categories and prove important results relating convergence in measure with speed to existing definitions.

Comments

by Cass Apollo Petrus.

Extent

vi, 27 leaves : ill.

Identifier

314775751

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