On Lebesgue integrability and differentiability

Author

Ireneo M. Salvanera

Date

3-1993

Degree

Bachelor of Science in Mathematics

College

College of Arts and Sciences (CAS)

Adviser/Committee Chair

Edgar E. Escultura

Abstract

This study makes two additions to Littlewood's three principles.

(a) Every measurable function is nearly differentiable and,

(b) Every Lebesgue integral is nearly a Riemann integral.

It is shown that Lebesgue integral can be evaluated by applying the Mean Value Theorem on an approximating continuous function.

Language

English

Location

UPLB Main Library Special Collections Section (USCS)

Call Number

Thesis

Recommended Citation

Salvanera, Ireneo M., "On Lebesgue integrability and differentiability" (1993). Undergraduate Theses. 10140.
https://www.ukdr.uplb.edu.ph/etd-undergrad/10140

Document Type

Thesis