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

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...

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Main Authors: Liban, Janice C., Tung, Katherine T.I.B.
Format: text
Language:English
Published: Animo Repository 2002
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17238
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_bachelors-177512022-01-26T02:35:45Z A study on the monotonicity of Riemann sums approximations of Se f(x)dx Liban, Janice C. Tung, Katherine T.I.B. 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. 2002-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17238 Bachelor's Theses English Animo Repository
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
description 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.
format text
author Liban, Janice C.
Tung, Katherine T.I.B.
spellingShingle Liban, Janice C.
Tung, Katherine T.I.B.
A study on the monotonicity of Riemann sums approximations of Se f(x)dx
author_facet Liban, Janice C.
Tung, Katherine T.I.B.
author_sort Liban, Janice C.
title A study on the monotonicity of Riemann sums approximations of Se f(x)dx
title_short A study on the monotonicity of Riemann sums approximations of Se f(x)dx
title_full A study on the monotonicity of Riemann sums approximations of Se f(x)dx
title_fullStr A study on the monotonicity of Riemann sums approximations of Se f(x)dx
title_full_unstemmed A study on the monotonicity of Riemann sums approximations of Se f(x)dx
title_sort study on the monotonicity of riemann sums approximations of se f(x)dx
publisher Animo Repository
publishDate 2002
url https://animorepository.dlsu.edu.ph/etd_bachelors/17238
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