Geodesic
On the constants in inequalities of the generalized Jackson theorem type
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 28-59

Voir la notice de l'article provenant de la source Math-Net.Ru

Some modifications of Jackson type inequalities are established. These inequalities contain estimates of best approximations of periodical functions by trigonometric polynomials in terms of the moduli of continuity of high orders. Special attention was payed to estimates of constants in the obtained inequalities. 
@article{ZNSL_2013_418_a2,
     author = {M. V. Babushkin and V. V. Zhuk},
     title = {On the constants in inequalities of the generalized {Jackson} theorem type},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {28--59},
     publisher = {mathdoc},
     volume = {418},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a2/}
}
TY  - JOUR
AU  - M. V. Babushkin
AU  - V. V. Zhuk
TI  - On the constants in inequalities of the generalized Jackson theorem type
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2013
SP  - 28
EP  - 59
VL  - 418
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a2/
LA  - ru
ID  - ZNSL_2013_418_a2
ER  - 
%0 Journal Article
%A M. V. Babushkin
%A V. V. Zhuk
%T On the constants in inequalities of the generalized Jackson theorem type
%J Zapiski Nauchnykh Seminarov POMI
%D 2013
%P 28-59
%V 418
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a2/
%G ru
%F ZNSL_2013_418_a2
M. V. Babushkin; V. V. Zhuk. On the constants in inequalities of the generalized Jackson theorem type. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 28-59. http://geodesic.mathdoc.fr/item/ZNSL_2013_418_a2/