Zobrazeno 1 - 3
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pro vyhledávání: '"G. Yu. Puerov"'
Autor:
G. Yu. Puerov, V. V. Zhuk
Publikováno v:
Journal of Mathematical Sciences. 207:845-856
The Bernstein inequalities for trigonometric polynomials are generalized. For sums of Fourier coefficients, upper bounds with certain constants in terms of quantities characterizing structural properties of functions are obtained. Bibliography: 9 tit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d52cb12721f15406e8aaff6acf3d510
https://doi.org/10.1007/s10958-015-2409-2
https://doi.org/10.1007/s10958-015-2409-2
Autor:
G. Yu. Puerov, E. I. Sergeeva
Publikováno v:
Journal of Mathematical Sciences. 189:536-543
We consider the Steklov average S h , r (f), where h = (h 1, h 2), h 1, h 2 > 0, r ∈ ℕ2, for a function f and estimate deviations of generalized Steklov averages S h,r,m (f) = (E − (E − S h,r ) m )(f), where m ∈ ℕ and E is the identity op
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3692b502d68531a0952560dd80481527
https://doi.org/10.1007/s10958-013-1205-0
https://doi.org/10.1007/s10958-013-1205-0
Autor:
G. Yu. Puerov
Publikováno v:
Journal of Mathematical Sciences. 172:135-142
We obtain sharp upper estimates for the norms of deviations of generalized Steklov functions via the norms of analogous expressions involving Steklov functions with other steps. Such estimates are obtained in the space L 2(Q 2) of periodic functions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9930b09cd97ad75e880fd1443e04cbb6
https://doi.org/10.1007/s10958-010-0188-3
https://doi.org/10.1007/s10958-010-0188-3