Estimates of the integral modulus of continuity of functions with rarely changing Fourier coefficients
Journal Article
·
· Sbornik. Mathematics
- V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)
The functions under consideration are those satisfying the condition {delta}a{sub i}={delta}b{sub i}=0 for all i{ne}n{sub j}, where {l_brace}n{sub j}{r_brace} is a lacunary sequence. An asymptotic estimate of the rate of decrease of the modulus of continuity in the L-metric of such functions in terms of their Fourier coefficients is obtained.
- OSTI ID:
- 21205711
- Journal Information:
- Sbornik. Mathematics, Vol. 193, Issue 9; Other Information: DOI: 10.1070/SM2002v193n09ABEH000680; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Approximation of functions of variable smoothness by Fourier-Legendre sums
A family of Nikishin systems with periodic recurrence coefficients
Pade approximants for entire functions with regularly decreasing Taylor coefficients
Journal Article
·
Fri Jun 30 00:00:00 EDT 2000
· Sbornik. Mathematics
·
OSTI ID:21205711
A family of Nikishin systems with periodic recurrence coefficients
Journal Article
·
Thu Jan 31 00:00:00 EST 2013
· Sbornik. Mathematics
·
OSTI ID:21205711
Pade approximants for entire functions with regularly decreasing Taylor coefficients
Journal Article
·
Thu Oct 31 00:00:00 EST 2002
· Sbornik. Mathematics
·
OSTI ID:21205711