Takehito Yoshiki

activity

20142026

most citedOptimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness

15 citations · 110 across the 16 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.NA2015★ 15 cited

Optimal order quasi-Monte Carlo integration in weighted Sobolev spaces of arbitrary smoothness

Takashi Goda, Kosuke Suzuki, Takehito Yoshiki

We investigate quasi-Monte Carlo integration using higher order digital nets in weighted Sobolev spaces of arbitrary fixed smoothness $α \in N$ , $α \geq 2$ , defined over the…

math.NA2015★ 6 cited

Bounds on Walsh coefficients by dyadic difference and a new Koksma-Hlawka type inequality for Quasi-Monte Carlo integration

Takehito Yoshiki

In this paper we give a new Koksma-Hlawka type inequality for Quasi-Monte Carlo (QMC) integration. QMC integration of a function $f : [0, 1)^{s} \to R$ by a finite…

math.NA2015★ 9 cited

Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients

Kosuke Suzuki, Takehito Yoshiki

We establish formulas for the $b$ -adic Walsh coefficients of functions in $C^{α} [0, 1]$ for an integer $α \geq 1$ and give upper bounds on the Walsh coefficients of these functions. We…