A study on the monotonicity of Riemann sums approximations of Se f(x)dx

Date of Publication

2002

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper looks at the estimates of f(x)dx using Riemann Sums. We donote these Riemann sum approximations by En=f(i/n)(1/n). It is shown that monotonicity of these estimates depend on f1 and f11 being nonpositive or nonnegative. The monotonicity of a class of decreasing concave up functions is also discussed.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU11107

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

55 leaves

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