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: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2002
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17238 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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