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pro vyhledávání: '"Kolomoitsev, Yu."'
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:
Kolomoitsev, Yu., Tikhonov, S.
We provide a comprehensive study of interrelations between different measures of smoothness of functions on various domains and smoothness properties of approximation processes. Two general approaches to this problem have been developed: the first ba
Externí odkaz:
http://arxiv.org/abs/1903.00229
Autor:
Kolomoitsev, Yu., Liflyand, E.
Publikováno v:
J. Math. Anal. Appl. 456 (2017), no. 1, 163-176
In this paper we obtain new sufficient conditions for representation of a function as an absolutely convergent Fourier integral. Unlike those known earlier, these conditions are given in terms of belonging to weighted spaces. Adding weights allows on
Externí odkaz:
http://arxiv.org/abs/1811.07326
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
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:
Kolomoitsev, Yu., Liflyand, E.
Various new sufficient conditions for representation of a function of several variables as an absolutely convergent Fourier integral are obtained in the paper. The results are given in terms of $L^p$ integrability of the function and its partial deri
Externí odkaz:
http://arxiv.org/abs/1108.5470
Autor:
Kolomoitsev, Yu., Skopina, M.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2017 456(1):195-213
Autor:
Kolomoitsev, Yu., Liflyand, E.
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 December 2017 456(1):163-176
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