функции ограниченной p-вариации

Approximation of Functions of Bounded p-variation by Euler Means

Authors: Tyuleneva A. A.

In this paper we study the Euler means
eqn(f)(x) =∑k=0n(nk)qn−k(1 + q)−nSk(f)(x), q > 0, n ∈ Z+,

Approximation of Bounded p-variation Periodic Functions by Generalized Abel–Poisson and Logarithmic Means

Authors: Tyuleneva A. A.
An asymptotic estimate of approximation by generalized Abel–Poisson means in p-variation metric on the class of functions with given majorant of p-variational best approximation is proved. Several other quantity results on approximation by these means are
obtained.