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Western Kentucky University

Lebesgue ▼-Measure and Riemann ▼-Integration

Abstract

dc:description.abstract

Throughout the study of dynamic equations on time-scales, one traditionally finds many theorems involving the ▲ case (i.e., ▲-derivatives, ▲-measure, ▲-integrability, etc.) with only a brief mention of the ▼case. This thesis is designed to give a greater understanding of ▼-measurability and Riemann ▼-integration, as well as to give a comparison between ▲ and ▼-measurability. Furthermore, a Mathematica program for finding the Riemann ▼-integral of a function on various time-scales is provided.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Discipline thesis:degree_discipline
Department of Mathematics and Computer Science
Year
2005

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bjorum, Heather

Subjects

dc:subject × 1

Identifiers

dc:identifier.*
Repository record dc:identifier
https://digitalcommons.wku.edu/theses/489
OAI identifier oai:identifier
oai:digitalcommons.wku.edu:theses-1492

Chain of custody

source
Harvested from
Western Kentucky University
Base URL
digitalcommons.wku.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Bjorum, Heather. Lebesgue ▼-Measure and Riemann ▼-Integration. 2005. https://digitalcommons.wku.edu/theses/489