S. Tikhonov

activity

20052023

most citedNikolskii inequality and functional classes on compact Lie groups

9 citations · 47 across the 25 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.CA2017

Hardy-Littlewood and Ulyanov inequalities

Yurii Kolomoitsev, Sergey Tikhonov

We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness $ω_{α} (f, t)_{q}$ and $ω_{β} (f, t)_{p}$ for $0 < p < q \leq \infty$ . A similar proble…

math.CA2017★ 3 cited

Nikolskii constants for polynomials on the unit sphere

Feng Dai, Dmitry Gorbachev, Sergey Tikhonov

This paper studies the asymptotic behavior of the exact constants of the Nikolskii inequalities for the space $Π_{n}^{d}$ of spherical polynomials of degree at most $n$ on the unit sph…

math.CA2017★ 4 cited

Positive $L^{p}$ -bounded Dunkl-type generalized translation operator and its applications

D. V. Gorbachev, V. I. Ivanov, S. Yu. Tikhonov

We prove that the spherical mean value of the Dunkl-type generalized translation operator $τ^{y}$ is a positive $L^{p}$ -bounded generalized translation operator $T^{t}$ . As application,…

Hardy-Littlewood and Ulyanov inequalities

Nikolskii constants for polynomials on the unit sphere

Positive Lp-bounded Dunkl-type generalized translation operator and its applications

Positive $L^{p}$ -bounded Dunkl-type generalized translation operator and its applications