Monotonicity of the trapezium, midpoint and Simpson estimates for integrals

Exposition of a method of Newman to establish monotonicity of successive approximations to integrals, greatly simplified for the estimates listed in the title.

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Publication Details

Journal
The Mathematical Gazette
Published
2026-04-07
DOI
https://doi.org/10.1080/00255572.2026.2645032
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00
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article

Monotonicity of the trapezium, midpoint and Simpson estimates for integrals

G. J. O. Jameson
The Mathematical Gazette
Advanced Harmonic Analysis Research
article

Monotonicity of the trapezium, midpoint and Simpson estimates for integrals

G. J. O. Jameson
article en

Abstract

Exposition of a method of Newman to establish monotonicity of successive approximations to integrals, greatly simplified for the estimates listed in the title.

The Mathematical Gazette
Lancaster University (GB)
Climate action
Openalex Percentile: Top 18%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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