Paltanea type theorems on estimation by positive discrete functionals
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 51, Tome 527 (2023), pp. 71-83
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The article is concerned with inequalities of the type \begin{equation*} |F(f)-F(e_0)f(x)| \le F(e_0)\omega_2(f, h), \end{equation*} there $F$ is a functional of the form $F(f)=\sum\limits_{y \in Y}\gamma(y)f(y)$, and $Y$ is an at most countable set with no accumulation points on $\mathbb{R}$, $\gamma : Y \to (0, \infty)$.
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[2] L. N. Ikhsanov, “Tochnaya otsenka priblizheniya abstraktnymi operatorami tipa Kantorovicha cherez vtoroi modul nepreryvnosti”, Zap. nauchn. semin. POMI, 491, 2020, 66–93