9 citations · 47 across the 25 of their papers we have counts for
4 papers · 1 filter
Bernstein inequalities with nondoubling weights
Andriy Bondarenko, Sergey Tikhonov
We answer Totik's question on weighted Bernstein's inequalities showing that holds for all trigonom…
Weighted Fractional Bernstein's inequalities and their applications
Feng Dai, Sergey Tikhonov
This paper studies the following weighted, fractional Bernstein inequality for spherical polynomials on $\sph$: \begin{equation}\label{4-1-TD-ab} \|(-Δ_0)^{r/2} f\|_{p,w}\leq C_w n…
Weighted norm inequalities for convolution and Riesz potential
Erlan Nursultanov, Sergey Tikhonov
In this paper, we prove analogues of O'Neil's inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the p…
Mixed Moduli of Smoothness in ,
M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov
In this paper we survey recent developments over the last 25 years on the mixed fractional moduli of smoothness of periodic functions from , . In particular, the p…