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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

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