Cite this article as:
Tyuleneva A. A. Approximation of Bounded p-variation Periodic Functions by Generalized Abel–Poisson and Logarithmic Means. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 27-35. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-27-35
Language:
Russian
Heading:
UDC:
517.518
Approximation of Bounded p-variation Periodic Functions by Generalized Abel–Poisson and Logarithmic Means
Abstract:
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.
Key words:
References
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