3 papers
math.NA2025
Error bounds for numerical differentiation using kernels of finite smoothness
Oleg Davydov
We provide improved error bounds for kernel-based numerical differentiation in terms of growth functions when kernels are of a finite smoothness, such as polyharmonic splines, thin…
math.NA2025
Construction of Bases in Modules over Laurent Polynomial Rings and Applications to Box Spline Prewavelets
Oleg Davydov, Anatolii Tushev
We suggest a new method of basis construction for the kernel of a linear form on the Laurent polynomial module related to multivariate wavelets, and demonstrate its applications to…
math.NA2025
On optimal recovery of unbounded operators from inaccurate data
Oleg Davydov, Sergei Solodky
The problems of optimal recovery of unbounded operators are studied. Optimality means the highest possible accuracy and the minimal amount of discrete information involved. It is e…