2 citations · 3 across the 4 of their papers we have counts for
4 papers
On the Jackson constants for algebraic approximation of continuous functions
A. G. Babenko, Yu. V. Kryakin
We establish new estimates for the constant in the Brudnyi-Jackson inequality for approximation of by algebraic polynomials: $$ E_{n}^a (f) \le J_a(k, α)…
On spaces
A. G. Babenko, Yu. Kryakin
This paper is devoted to the inequalities for mean values of functions from . The simple proof of the classical Jackson inequality in the case of the second modulus…
-approximation of -splines by trigonometric polynomials
A. G. Babenko, Yu. V. Kryakin
This note is a continuation of our papers [1,2], devoted to -approximation of characteristic function of by trigonometric polynomials. In the paper [1] the sharp value…
Functions measuring smoothness and the constants in Jackson--Stechkin theorem
A. G. Babenko, Yu. V. Kryakin
This paper is devoted to the equivalence of two type direct theorems in Approximation Theory: a) for smooth functions (Favard's estimates). b) for arbitrary continuous function (Ja…