On the monotonicity of left and right Riemann sums

This paper is dedicated to proving general theorems about the monotonicity of left and right Riemann sums, a problem first raised by Fejér in 1950. We provide a much-needed review of the literature on the problem and offer several new sufficient and necessary conditions for the monotonicity of Riema...

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Vydané v:	Sampling theory, signal processing, and data analysis Ročník 22; číslo 1
Hlavný autor:	Bouthat, Ludovick
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.06.2024
Predmet:	Abstract Harmonic Analysis Machine Learning Mathematics Mathematics and Statistics Original Article Signal,Image and Speech Processing 26A42 Monotone sequences Riemann sums 26A48 Interpolation in approximation theory 41A05 26D15
ISSN:	2730-5716, 2730-5724
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