A. Babenko

most cited

L

-approximation of

B

-splines by trigonometric polynomials

2 citations · 3 across the 4 of their papers we have counts for

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math.CA2017

On the Jackson constants for algebraic approximation of continuous functions

A. G. Babenko, Yu. V. Kryakin

We establish new estimates for the constant $J_{a} (k, α)$ in the Brudnyi-Jackson inequality for approximation of $f \in C [- 1, 1]$ by algebraic polynomials: $$ E_{n}^a (f) \le J_a(k, α)…

math.CA2008★ 1 cited

On $T_{2 n - 1}^{⊥}$ spaces

A. G. Babenko, Yu. Kryakin

This paper is devoted to the inequalities for mean values of functions from $T_{2 n - 1}^{⊥}$ . The simple proof of the classical Jackson inequality in the case of the second modulus…

math.CA2008★ 2 cited

$L$ -approximation of $B$ -splines by trigonometric polynomials

A. G. Babenko, Yu. V. Kryakin

This note is a continuation of our papers [1,2], devoted to $L$ -approximation of characteristic function of $(- h, h)$ by trigonometric polynomials. In the paper [1] the sharp value…

math.CA2008

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…

On the Jackson constants for algebraic approximation of continuous functions

On T2n−1⊥​ spaces

L-approximation of B-splines by trigonometric polynomials

Functions measuring smoothness and the constants in Jackson--Stechkin theorem

On $T_{2 n - 1}^{⊥}$ spaces

$L$ -approximation of $B$ -splines by trigonometric polynomials