Geodesic
On two-sided estimates for some functionals in terms of the best approximations
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 15-31

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Two-sided estimates in terms of the best approximations by trigonometric polynomials are established for some functionals connected with approximation theory. 
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     author = {M. V. Babushkin and V. V. Zhuk},
     title = {On two-sided estimates for some functionals in terms of the best approximations},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a1/}
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M. V. Babushkin; V. V. Zhuk. On two-sided estimates for some functionals in terms of the best approximations. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 32, Tome 449 (2016), pp. 15-31. http://geodesic.mathdoc.fr/item/ZNSL_2016_449_a1/