Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 26-45
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O. L. Vinogradov. The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 25, Tome 247 (1997), pp. 26-45. http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a2/
@article{ZNSL_1997_247_a2,
author = {O. L. Vinogradov},
title = {The sharp constant in the estimate of the {Rogozinski} sums deviation in terms of the second modulus of continuity},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {26--45},
year = {1997},
volume = {247},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a2/}
}
TY - JOUR
AU - O. L. Vinogradov
TI - The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 26
EP - 45
VL - 247
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a2/
LA - ru
ID - ZNSL_1997_247_a2
ER -
%0 Journal Article
%A O. L. Vinogradov
%T The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 26-45
%V 247
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_247_a2/
%G ru
%F ZNSL_1997_247_a2
The sharp constant (uniformly in $n$) is found in a Jackson-type inequality involving the Rogozinski sums of order $n$ and the second modulus of continuity with the step $\pi/(n+1)$.
