Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Skopina, M."'
Autor:
Farkov, Yu., Skopina, M.
Given a dilation matrix M, a so-called space of M-positive vectors in the Euclidean space is introduced and studied. An algebraic structure of this space is similar to the positive half-line equipped with the termwise addition modulo 2, which is used
Externí odkaz:
http://arxiv.org/abs/2308.06618
Approximation properties of periodic quasi-projection operators with matrix dilations are studied. Such operators are generated by a sequence of functions $\varphi_j$ and a sequence of distributions/functions $\widetilde{\varphi}_j$. Error estimates
Externí odkaz:
http://arxiv.org/abs/2002.00414
Autor:
Farkov, Yu.1 (AUTHOR), Skopina, M.2,3 (AUTHOR) skopinama@gmail.com
Publikováno v:
Journal of Mathematical Sciences. Mar2024, Vol. 280 Issue 1, p5-22. 18p.
Autor:
Kolomoitsev, Yu., Skopina, M.
Publikováno v:
J. Math. Anal. Appl. 456 (2017), no. 1, 195-213
Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions with discontinuous Fourier transform is considered. The $L_p$-rate of c
Externí odkaz:
http://arxiv.org/abs/1811.07329
Autor:
Krivoshein, A., Skopina, M.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2022 516(1)
Differential and falsified sampling expansions $\sum_{k\in \mathbb{Z}^d}c_k\phi(M^jx+k)$, where $M$ is a matrix dilation, are studied. In the case of differential expansions, $c_k=Lf(M^{-j}\cdot)(-k)$, where $L$ is an appropriate differential operato
Externí odkaz:
http://arxiv.org/abs/1703.10420
Autor:
Kolomoitsev, Yu., Skopina, M.
Publikováno v:
In Applied and Computational Harmonic Analysis May 2021 52:165-197
Autor:
Krivoshein, A., Skopina, M.
Approximation properties of the expansions $\sum_{k\in{\mathbb z}^d}c_k\phi(M^jx+k)$, where $M$ is a matrix dilation, $c_k$ is either the sampled value of a signal $f$ at $M^{-j}k$ or the integral average of $f$ near $M^{-j}k$ (falsified sampled valu
Externí odkaz:
http://arxiv.org/abs/1407.0321
Autor:
Lebedeva, E., Skopina, M.
Ordinary and partial differential equation for unknown functions defined on the Cantor dyadic group are studied. We consider two types of equations: related to the Gibbs derivatives and to the fractional modified Gibbs derivatives (or pseudo differen
Externí odkaz:
http://arxiv.org/abs/1403.7349