Found 51 Documents (Results 1–51)
Characterization of tight wavelet frames with composite dilations in \(L^2(\mathbb{R}^n)\). (English) Zbl 1538.42077
On estimates of deviation of conjugate functions from matrix operators of their Fourier series by some expressions with \(R\)-differences of the entries. (English) Zbl 1474.42017
MSC:
42A24
Degrees of the approximation of integrable functions by some special matrix means of Fourier series. (English) Zbl 1474.42007
Approximation of signals (functions) of \(\operatorname{Lip}(\alpha,p),(p\geqslant 1)\)-class by trigonometric polynomials. (English) Zbl 1499.40060
Functions of generalized bounded variation and its multiple Fourier coefficients. (English) Zbl 1499.42042
The cosine series and regular variation in the Karamata and Zygmund senses. (English) Zbl 1488.42030
Absolute and uniform convergence of spectral expansion of the function from the class \(W_p^1 (G), p>1\), in eigenfunctions of third order differential operator. (English) Zbl 1499.34436
Approximations of periodic functions by analogue of Zygmund sums in the spaces \(L^{p(\cdot)}\). (English) Zbl 1456.42002
On estimates for the moduli of smoothness of functions with a transformed Fourier series. (Russian) Zbl 1056.42003
Reviewer: Miroljub Jevtić (Beograd)
Positivity zones and norms of \(n\)-fold convolutions. I. (English) Zbl 1052.42011
Reviewer: Ljubiša Kocić (Niš)
On some transforms of trigonometric series. (English) Zbl 0901.65100
Reviewer: Gradimir Milovanović (Niš)
On Cesàro means in Hardy spaces. (English) Zbl 0884.30028
Reviewer: Miroljub Jevtić (Beograd)
MSC:
30D55
42A16
Summability of trigonometric series and Calderón reproducing formulas. (English) Zbl 0886.42002
Reviewer: Milan Merkle (Beograd)
Tauberian conditions and structures of Taylor and Fourier coefficients. (English) Zbl 0945.42002
Reviewer: Miroljub Jevtić (Beograd)
On the behaviour of sine series near the origin. (English) Zbl 0945.42004
Reviewer: Danko Jocić (Beograd)
MSC:
42A32
On estimates for the mixed modulus of continuity of a function with a transformed Fourier series. (English) Zbl 0965.42005
Reviewer: Milan Merkle (Beograd)
\(\lambda\)-regular oscillation and applications. (English) Zbl 0732.42001
Reviewer: S.Aljančić (Beograd)
Sidon type inequalities. (English) Zbl 0727.42005
Reviewer: W.Luther (Aachen)
Representations of monotonic Fourier coefficients in Tauberian \(L^ 1\)- convergence classes. (English) Zbl 0717.42007
L\({}^ 1\)-convergence of Fourier series with coefficients monotonic with respect to regularly varying sequences. (English) Zbl 0717.42005
On the convergence of biorthogonal series corresponding to nonselfadjoint Sturm-Liouville operator with discontinuous coefficients. (English) Zbl 0613.34021
Reviewer: A.L.Andrew
An estimate of the Fourier coefficients of functions belonging to the Besov class. (Russian) Zbl 0605.42003
Reviewer: S.Aljančić
Necessary conditions for the Fourier coefficients of periodic functions to belong to B(p,\(\theta\) k,\(\alpha\) )-classes of Besov type. (Russian) Zbl 0605.42002
Reviewer: S.Krushchev
On the frequency with which bounded functions have spectral gaps. (English) Zbl 0518.42017
MSC:
42A38
On Fourier coefficients of periodic functions belonging to \(H(p,k,\varphi)\)-Nikol’skiĭ classes. (Russian) Zbl 0512.42002
Integrability theorems for trigonometric series with positive coefficients. (English) Zbl 0506.42012
MSC:
42A32
On the boundedness of the norms of trigonometric polynomials and their application to summation methods of Fourier series. (Russian) Zbl 0499.42006
On integrability of trigonometric series with quasi-monotone coefficients. (English) Zbl 0496.42003
MSC:
42A16
An approximation of \(2\pi\)-periodic functions by an angle from singular integrals. (Russian) Zbl 0483.42010
An estimate of the rate of convergence for Fourier series of functions of bounded variation. (English) Zbl 0451.42004
Glattheitsmoduln und Fourierkoeffizienten periodischer Funktionen einer Veränderlichen. (Russian) Zbl 0429.42005
Über lineare Summierungsverfahren für Fourierreihen, deren Koeffizienten Produkte zweier Faktoren sind. (Russian) Zbl 0388.42004
On the absolute Nörlund summability of a series associated with a Fourier series. (English) Zbl 0361.42010
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