Zobrazeno 1 - 10
of 22
pro vyhledávání: '"A. F. Timan"'
Autor:
M. F. Timan
Publikováno v:
Ukrainian Mathematical Journal. 64:823-834
We present a survey of results obtained by the author, his disciples, and other mathematicians and related to the problem of finding the best approximations of functions in the investigation of properties of spaces of functions defined on zero-dimens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::072366de32ab27c21df1e893de66aece
https://doi.org/10.1007/s11253-012-0681-6
https://doi.org/10.1007/s11253-012-0681-6
Autor:
M. F. Timan, Yu. Kh. Khasanov
Publikováno v:
Russian Mathematics. 55:52-57
In this paper we propose a new proof of the well-known theorem by S. N. Bernstein, according to which among entire functions which give on (−∞,∞) the best uniform approximation of order σ of periodic functions there exists a trigonometric poly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41364a55976a8a3bcdd32dabb2fe00ab
https://doi.org/10.3103/s1066369x11120085
https://doi.org/10.3103/s1066369x11120085
Autor:
Yu. Kh. Khasanov, M. F. Timan
Publikováno v:
Ukrainian Mathematical Journal. 61:1499-1510
For almost-periodic Besicovitch functions whose spectrum has a limit point only at infinity, we establish criteria for the absolute Cesaro summability of their Fourier series of order greater than -1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a889f772ccb2c2a2de804ff0cd45b3d7
https://doi.org/10.1007/s11253-010-0292-z
https://doi.org/10.1007/s11253-010-0292-z
Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best appro
Autor:
M. F. Timan
Publikováno v:
Ukrainian Mathematical Journal. 50:1473-1477
We prove the equivalence between analogs of the Paley and Nikol’skii inequalities for any orthonormal system of functions and for almost periodic polynomials with arbitrary spectrum.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3e3271b813528935674d9b21b7ff730
https://doi.org/10.1007/bf02525256
https://doi.org/10.1007/bf02525256
Autor:
M. F. Timan
Publikováno v:
Ukrainian Mathematical Journal. 47:1449-1454
We give a new proof of the well-known Bernshtein statement that, among entire functions of degree ≤σ which realize the best uniform approximation (of degree σ) of a periodic function on (−∞,∞), there is a trigonometric polynomial of degree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be5b82c5db9e43ef08d87dedad03ab06
https://doi.org/10.1007/bf01057520
https://doi.org/10.1007/bf01057520
Autor:
L. I. Strukov, A. F. Timan
Publikováno v:
Siberian Mathematical Journal. 18:469-474
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d568f15fb08827119408a6d0fa356779
https://doi.org/10.1007/bf00967038
https://doi.org/10.1007/bf00967038
Autor:
V. N. Trofimov, A. F. Timan
Publikováno v:
Mathematical Notes of the Academy of Sciences of the USSR. 20:999-1002
It is known that if the continuous 2π-periodic function f(x) belongs to the class w(r) (r=1, 2, ...), i.e., it has an absolutely continuous derivative of order r—1 such that we have almost everywhere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8f6568779999b98b2cc56e2aa1c194b
https://doi.org/10.1007/bf01146929
https://doi.org/10.1007/bf01146929
Autor:
M. F. Timan
Publikováno v:
Analysis Mathematica. 4:75-82
Вводится понятиеN-си стем типа (p, q) (1 ≦p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e508cf885d8a237ef90c018082115dfb
https://doi.org/10.1007/bf01904860
https://doi.org/10.1007/bf01904860