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math.FA2020
The modulus of -variation and its applications
Gholam Hossein Esslamzadeh, Milad Moazami Goodarzi, Mahdi Hormozi +1
In this note, we introduce the notion of modulus of -variation for a function of a real variable, and show that it serves in at least two important problems, namely, the uniform…
math.NA2020
An extension of Koksma's inequality
Martin Lind
When applying the quasi-Monte Carlo (QMC) method of numerical integration of univariate functions, Koksma's inequality provides a basic estimate of the error in terms of the discre…