Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 33-49
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O. L. Vinogradov. Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 24, Tome 232 (1996), pp. 33-49. http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a2/
@article{ZNSL_1996_232_a2,
author = {O. L. Vinogradov},
title = {Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {33--49},
year = {1996},
volume = {232},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a2/}
}
TY - JOUR
AU - O. L. Vinogradov
TI - Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 33
EP - 49
VL - 232
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a2/
LA - ru
ID - ZNSL_1996_232_a2
ER -
%0 Journal Article
%A O. L. Vinogradov
%T Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 33-49
%V 232
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_232_a2/
%G ru
%F ZNSL_1996_232_a2
Sharp estimates for the deviation of some positive operators on the space of $2\pi$-periodic continuous functions are obtained in terms of the second modulus of continuity. The sharp constant in the problem of extending functions with preservation of the second modulus of continuity is found. Bibl. 5 titles.
