Zobrazeno 1 - 10
of 517
pro vyhledávání: '"Tikhonov, S."'
For the kernel $B_{\kappa,a}(x,y)$ of the $(\kappa,a)$-generalized Fourier transform $\mathcal{F}_{\kappa,a}$, acting in $L^{2}(\mathbb{R}^{d})$ with the weight $|x|^{a-2}v_{\kappa}(x)$, where $v_{\kappa}$ is the Dunkl weight, we study the important
Externí odkaz:
http://arxiv.org/abs/2210.15730
A set $Q$ in $\mathbb{Z}_+^d$ is a lower set if $(k_1,\dots,k_d)\in Q$ implies $(l_1,\dots,l_d)\in Q$ whenever $0\le l_i\le k_i$ for all $i$. We derive new and refine known results regarding the cardinality of the lower sets of size $n$ in $\mathbb{Z
Externí odkaz:
http://arxiv.org/abs/2208.02113
We consider direct and inverse Jacobi transforms with measures $d\mu(t)=2^{2\rho}(\sinh t)^{2\alpha+1}(\cosh t)^{2\beta+1}\,dt$ and $d\sigma(\lambda)=(2\pi)^{-1}\bigl|\frac{2^{\rho-i\lambda}\Gamma(\alpha+1)\Gamma(i\lambda)} {\Gamma((\rho+i\lambda)/2)
Externí odkaz:
http://arxiv.org/abs/2112.05802
Publikováno v:
Vestnik MGTU, Vol 26, Iss 3, Pp 232-241 (2023)
Food antimicrobial peptides are increasingly relevant in the treatment of bacterial infections and have a number of advantages in comparison with drugs: slower emergence of resistance in bacterial strains, high activity against antibiotic films and i
Externí odkaz:
https://doaj.org/article/b9f1a9689fdb4edfb3b8eba6b933f3a5
This paper studies the behavior of the entropy numbers of classes of functions with bounded integral norms from a given finite dimensional linear subspace. Upper bounds of these entropy numbers in the uniform norm are obtained and applied to establis
Externí odkaz:
http://arxiv.org/abs/2001.10636
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its systematic study has begun recently. In this paper we obtain a condit
Externí odkaz:
http://arxiv.org/abs/2001.09320
In this paper we study direct and inverse approximation inequalities in $L^{p}(\mathbb{R}^{d})$, $1
Externí odkaz:
http://arxiv.org/abs/1912.03743
We study the uncertainty principles related to the generalized Logan problem in $\mathbb{R}^{d}$. Our main result provides the complete solution of the following problem: for a fixed $m\in \mathbb{Z}_{+}$, find \[ \sup\{|x|\colon (-1)^{m}f(x)>0\}\cdo
Externí odkaz:
http://arxiv.org/abs/1904.11328
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:
Tikhonov, S., Yuditskii, P.
Let an algebraic polynomial $P_n(\zeta)$ of degree $n$ be such that $|P_n(\zeta)|\le 1$ for $\zeta\in E\subset\mathbb{T}$ and $|E|\ge 2\pi -s$. We prove the sharp Remez inequality $$ \sup_{\zeta\in\mathbb{T}}|P_n(\zeta)|\le \mathfrak{T}_{n}\left(\sec
Externí odkaz:
http://arxiv.org/abs/1809.09726