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Convergence in measure with speed

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Date Issued:
2006
Summary:
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.
Title: Convergence in measure with speed.
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Name(s): Petrus, Cass Apollo.
Harriet L. Wilkes Honors College
Type of Resource: text
Genre: Thesis
Issuance: multipart monograph
Date Issued: 2006
Publisher: Florida Atlantic University
Physical Form: electronic
electronic resource
Extent: vi, 27 leaves : ill.
Language(s): English
Summary: 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.
Identifier: 314775751 (oclc), 11585 (digitool), FADT11585 (IID), fau:1319 (fedora)
Note(s): by Cass Apollo Petrus.
Typescript (Photocopy).
Thesis (B.A.)--Florida Atlantic University, Honors College, 2006.
Bibliography: leaf 27.
Electronic reproduction. Boca Raton, Fla., 2006. Mode of access: World Wide Web.
Subject(s): Mathematical analysis
Functions of real variables
Convergence (Mathematics)
Held by: FBoU FAUER
Persistent Link to This Record: http://purl.flvc.org/FAU/11585
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Host Institution: FAU

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