3 papers
math.CA2026
On Asymptotic Properties of Certain -Splines in Terms of Theta-like Functions
Michael I. Ganzburg
The asymptotic behavior of the Mellin transform of the associated -splines with special knots in terms of theta-like functions is found. The proof is b…
math.CA2025
Discretization Theorems for Entire Functions of Exponential Type
Michael I. Ganzburg
We prove --discretization inequalities for entire functions of exponential type in the form \ba C_2\|f\|_{L_q(\R^m)} \le \left(\sum_{ν=1}^\iy \left\vert f\left(X_ν…
math.CA2025
Bernstein-Nikolskii Inequality: Optimality with Respect to the Smoothness Parameter
Michael I Ganzburg, Miquel Saucedo, Sergey Tikhonov
In this paper, we study the form of the constant in the Bernstein--Nikolskii inequalities , for trigonom…