Ken’ichiro Tanaka

activity

20162026

most citedHow sharp are error bounds? --lower bounds on quadrature worst-case errors for analytic functions

3 citations · 8 across the 11 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.NA2018

Generation of point sets by convex optimization for interpolation in reproducing kernel Hilbert spaces

Ken'ichiro Tanaka

We propose algorithms to take point sets for kernel-based interpolation of functions in reproducing kernel Hilbert spaces (RKHSs) by convex optimization. We consider the case of ke…

cs.DM2018

Counting Integral Points in Polytopes via Numerical Analysis of Contour Integration

Hiroshi Hirai, Ryunosuke Oshiro, Ken'ichiro Tanaka

In this paper, we address the problem of counting integer points in a rational polytope described by $P (y) = {x \in R^{m} : A x = y, x \geq 0}$ , where $A$ is an $n \t…

math.NA2018

Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization

Ken'ichiro Tanaka, Masaaki Sugihara

We propose a simple and effective method for designing approximation formulas for weighted analytic functions. We consider spaces of such functions according to weight functions ex…