2 citations · 6 across the 6 of their papers we have counts for
6 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)…
-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…
Whitney's Theorem for oscillatiing on functions
Yu. Kryakin
We find the order of Whitney's constants for oscillating functions
On the exact constant in Jackson-Stechkin inequality for the uniform metric
S. Foucart, Yu. Kryakin, A. Shadrin
The classical Jackson-Stechkin inequality estimates the value of the best uniform approximation of a periodic function by trigonometric polynomials of degree in terms of…
Bohr--Favard Inequality for differences and constants in Jackson--Stechkin Theorem
Y. Kryakin
We consider uniform approximations by trigonometric polynomials. The aim of the paper is to obtain good estimates of the Jackson--Stechkin constants . We prove that $ J_m \le…