Found 185 Documents (Results 1–100)
Applications of \(T^r\)-strongly convergent sequences to Fourier series by means of modulus functions. (English) Zbl 07829365
Reviewer: Marcel G. de Bruin (Heemstede)
On \(T^r\)-strong convergence of numerical sequences and Fourier series. (English) Zbl 1524.40001
Reviewer: Marcel G. de Bruin (Heemstede)
Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces. (English) Zbl 1538.42056
Reviewer: Joseph Lakey (Las Cruces)
Fourier transforms and fractional Lipschitz and Nikol’skii classes in uniform metric. (English) Zbl 1524.42010
Reviewer: D. K. Ugulava (Tbilisi)
Some applications of the dual spaces of Hardy-amalgam spaces. (English) Zbl 1513.42029
Reviewer: Joseph Lakey (Las Cruces)
Some inequalities of the large sieve type. (English) Zbl 1499.11290
Reviewer: Raymond Johnson (Columbia)
Distribution of the logarithmic derivative of a rational function on the line. (English) Zbl 1488.26046
Multiple spectra of self-similar measures with three digits on \(\mathbb{R}\). (English) Zbl 1488.42043
The law of the iterated logarithm for the discrepancy of perturbed geometric progressions. (English) Zbl 1488.11114
Reviewer: Christoph Aistleitner (Graz)
Reciprocity formulas for Hall-Wilson-Zagier type Hardy-Berndt sums. (English) Zbl 1474.11107
Reviewer: Min Ho Lee (Cedar Falls)
Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform. (English) Zbl 1474.42044
Reviewer: Michael Perelmuter (Kyïv)
The sets of positivity of sine series with monotone coefficients. (English) Zbl 1474.42002
Reviewer: Antonio López-Carmona (Granada)
MSC:
42A05
Summability of Fourier series in periodic Hardy spaces with variable exponent. (English) Zbl 1474.42036
Reviewer: Włodzimierz Łenski (Poznań)
General Fourier coefficients for Lip \(\alpha\) class functions. (English) Zbl 1474.42104
Reviewer: Ferenc Weisz (Budapest)
Cesáro and Riesz summability with varying parameters of multi-dimensional Walsh-Fourier series. (English) Zbl 1463.42070
Reviewer: Alexei Lukashov (Saratov)
Metric discrepancy results for geometric progressions perturbed by irrational rotations. (English) Zbl 1474.11136
Reviewer: Alexander Ulanovskii (Stavanger)
A functional bound for Young’s cosine polynomial. (English) Zbl 1449.26019
Reviewer: Constantin Niculescu (Craiova)
Functions of bounded \(p\)-variation and weighted integrability of Fourier transforms. (English) Zbl 1463.42011
Reviewer: Jorge Bustamante González (Puebla)
\(\mathcal{I}_H\)-regular Borel measures on locally compact abelian groups. (English) Zbl 1449.43003
Reviewer: Leszek Skrzypczak (Poznań)
On weighted absolute convergence of multiple Fourier series of a function of \((p_1,\ldots, p_N) - (\Lambda_1,\ldots, \Lambda_N) -BV\). (English) Zbl 1424.42009
Inequalities for moduli of smoothness of functions and their Liouville-Weyl derivatives. (English) Zbl 1413.42005
Reviewer: Adhemar Bultheel (Leuven)
Metric discrepancy results for geometric progressions with small ratios. (English) Zbl 1413.11090
Reviewer: Yukio Ohkubo (Kagoshima)
The imaginary part of the characteristic function. (English) Zbl 1399.42026
Reviewer: Olga M. Katkova (Boston)
On the generalization of the Salem test. (English) Zbl 1413.42007
Reviewer: Miroslav Repický (Košice)
The {D}irichlet problem in weighted norm. (English) Zbl 1399.42012
Reviewer: Włodzimierz Łenski (Poznań)
Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability. (English) Zbl 1413.42013
Replacing integral-type conditions by sequence-type ones. (English) Zbl 1399.42010
Reviewer: Włodzimierz Łenski (Poznań)
Approximation of functions from \(L^p(\omega)_\beta\) by general linear operators. (English) Zbl 1374.42010
Reviewer: Pascal Lefèvre (Lens)
MSC:
42A24
Inverse continuous wavelet transform in pringsheim’s sense on Wiener amalgam spaces. (English) Zbl 1363.42078
Reviewer: Richard A. Zalik (Auburn)
Liouville-weyl derivatives, best approximations, and moduli of smoothness. (English) Zbl 1363.42002
Reviewer: Włodzimierz Łenski (Poznań)
Invertibility of the Gabor frame operator on some function spaces. (English) Zbl 1340.42081
Reviewer: Alexander Ulanovskii (Stavanger)
On lacunary series with random gaps. (English) Zbl 1324.60045
Reviewer: Christoph Aistleitner (Linz)
An application of MVBV condition in real sense for \(L^1\)-convergence of trigonometric series. (English) Zbl 1340.42010
Reviewer: Miroslav Repický (Košice)
Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series. (English) Zbl 1340.11072
Reviewer: Tonko Tonkov (Sofia)
A remark on the geometry of spaces of functions with prime frequencies. (English) Zbl 1324.42008
Reviewer: Alexander Ulanovskii (Stavanger)
A remark on the Beurling-Selberg function. (English) Zbl 1313.42002
Reviewer: C. L. Parihar (Indore)
On generalizations of theorems of Leindler. (English) Zbl 1313.42024
Reviewer: Boris Rubin (Baton Rouge)
On \(\Lambda^2\)-strong convergence of numerical sequences and Fourier series. (English) Zbl 1299.40017
Reviewer: Elijah Liflyand (Ramat-Gan)
Transition between the Lagrange and Hermite-Fejér interpolations. I. (Trigonometric case). (English) Zbl 1299.42002
On the uniform convergence of single and double sine series. (English) Zbl 1299.42007
Reviewer: Miroslav Repický (Košice)
Sharp inequalities for the dyadic square function in the BMO setting. (English) Zbl 1289.42004
Reviewer: A. Ulanovskii (Stavanger)
Conjugate function and the modulus of continuity of \(k\)-th order. (English) Zbl 1289.42037
Reviewer: Koichi Saka (Akita)
Inversion formulas for the continuous wavelet transform. (English) Zbl 1289.42096
Reviewer: Richard A. Zalik (Auburn)
Applications of conjugate operators to determination of jumps for functions. (English) Zbl 1299.42012
On the degree of continuity and smoothness of sine and cosine Fourier transforms of Lebesgue integrable functions. (English) Zbl 1265.42016
Reviewer: Elijah Liflyand (Raman-Gat)
\(L^1\)-approximation rate of certain trigonometric series. (English) Zbl 1265.42010
Reviewer: Elijah Liflyand (Ramat-Gan)
Approximation of integrable functions by general linear operators of their Fourier series at the Lebesgue points. (English) Zbl 1274.42009
MSC:
42A24
On a theorem of M. Satô. (English) Zbl 1274.42002
On \(L^1\)-convergence of Fourier series of complex valued functions under the \(GM_7\) condition. (English) Zbl 1274.42006
On the uniform convergence of special sine integrals. (English) Zbl 1250.42021
Reviewer: E. Liflyand (Ramat-Gan)
Triangular Cesàro summability of two dimensional Fourier series. (English) Zbl 1240.42029
Reviewer: Elijah Liflyand (Ramat-Gan)
On estimating the rate of best trigonometric approximation by a modulus of smoothness. (English) Zbl 1240.42004
Reviewer: Wlodzimierz Lenski (Poznan)
Biorthonormal systems in Freud-type weighted spaces with infinitely many zeros – an interpolation problem. (English) Zbl 1274.42013
Estimate of the approximation of periodic functions by negative Cesàro means. (English) Zbl 1274.42008
Approximation of bandlimited functions by trigonometric polynomials. (English) Zbl 1224.30139
Reviewer: Yusuf Avci (Bahcesehir)
A remark on a condition raised by Tikhonov: an example in \(L^1\) convergence of Fourier series. (English) Zbl 1224.42013
Reviewer: Jagdish N. Pandey (Ottawa)
Pure Gaussian limit distributions of trigonometric series with bounded gaps. (English) Zbl 1240.42020
Reviewer: George Stoica (Saint John)
Applications of MVBV condition in \(L^1\) integrability. (English) Zbl 1240.42016
Reviewer: Pascal Lefévre (Lens)
On the class of limits of lacunary trigonometric series. (English) Zbl 1240.11081
Reviewer: George Stoica (Saint John)
Remarks on the uniform and \(L^1\)-convergence of trigonometric series. (English) Zbl 1240.42015
Reviewer: Alexander Ulanovskii (Stavanger)
Some Fourier-type operators for functions on unbounded intervals. (English) Zbl 1224.41021
Reviewer: Delfina Roux (Milano)
Generalization of a theorem on Besov-Nikol’skiĭ classes. (English) Zbl 1224.26013
Reviewer: Elijah Liflyand (Ramat-Gan)
Determination of jumps of distributions by differentiated means. (English) Zbl 1224.40011
Reviewer: Borislav Crstici (Timisoara)
Application of the classes IMRBVS to embedding relations of Besov classes. (English) Zbl 1199.26014
Reviewer: Zoltán Finta (Cluj-Napoca)
On generalizations of a theorem of Ferenc Lukács. (English) Zbl 1199.42046
Reviewer: Pascal Lefèvre (Lens)
The law of the iterated logarithm for the discrepancies of a permutation of \(\{n_kx\}\). (English) Zbl 1197.11090
Reviewer: Harald Rindler (Wien)
Higher order Lipschitz classes of functions and absolutely convergent Fourier series. (English) Zbl 1212.42007
Absolutely convergent multiple Fourier series and multiplicative Lipschitz classes of functions. (English) Zbl 1199.42037
Reviewer: Olga I. Kuznetsova (Donetsk)
The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\). (English) Zbl 1241.11090
Reviewer: Christoph Aistleitner (Graz)
More on determination of jumps. (English) Zbl 1156.42002
Reviewer: László Leindler (Szeged)
On the absolute convergence of multiple Fourier series. (English) Zbl 1164.42005
Reviewer: Boris I. Golubov (Dolgoprudny)
Almost everywhere convergence of Cesáro means of Fourier series on the group of 2-adic integers. (English) Zbl 1136.42022
A generalization of the monotonicity condition and applications. (English) Zbl 1136.42002
Reviewer: Boris I. Golubov (Dolgoprudny)
Pointwise strong and very strong approximation of Fourier series. (English) Zbl 1136.41004
Reviewer: László Leindler (Szeged)
On the convergence of generalized Cesáro means of trigonometric Fourier series. II. (English) Zbl 1136.42005
Reviewer: Wlodzimierz Lenski (Poznan)
On the convergence of generalized Cesáro means of trigonometric Fourier series. I. (English) Zbl 1136.42004
Reviewer: Wlodzimierz Lenski (Poznan)
On the relationships of seven numerical sequences. (English) Zbl 1121.42003
Reviewer: Cao Jia-Ding (Shanghai)
MSC:
42A20
Trigonometric series of Nikol’skii classes. (English) Zbl 1121.42006
Reviewer: Antonio Lopez-Carmona (Granada)
A remark on “two-sided” monotonicity condition: an application to \(L^p\) convergence. (English) Zbl 1127.42007
Reviewer: Alexander Ulanovskii (Stavanger)
Determination of jumps in terms of spectral data. (English) Zbl 1106.42004
Reviewer: Boris I. Golubov (Dolgoprudny)
Gap series and functions of bounded variation. (English) Zbl 1104.60014
Reviewer: Zdislaw Rychlik (Lublin)
The maximal conjugate and Hilbert operators on real Hardy spaces. (English) Zbl 1119.42002
Reviewer: Wlodzimierz Lenski (Poznan)
A new condition for the uniform convergence of certain trigonometric series. (English) Zbl 1098.42003
Reviewer: Miroslav Repický (Košice)
A remark on the degree of approximation of continuous functions. (English) Zbl 1127.42004
MSC:
42A10
Relations among Fourier coefficients and sum-functions. (English) Zbl 1069.42003
Reviewer: Elena E. Berdysheva (Stuttgart)
On the degree of approximation of continuous functions. (English) Zbl 1069.42002
Reviewer: Pascal Lefèvre (Lens)
Order of magnitude of multiple Fourier coefficients of functions of bounded variation. (English) Zbl 1067.42006
Reviewer: Lubomira Softova (Bari)
An asymptotic property of gap series. III. (English) Zbl 1068.60042
Reviewer: Tadeusz Inglot (Wroclaw)
An asymptotic property of gap series. II. (English) Zbl 1026.60032
Reviewer: George Stoica (Saint John NB)
A generalization of bounded variation. (English) Zbl 1026.42006
Reviewer: Gabriele Steidl (Mannheim)
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