Results 191 to 200 of about 2,013,475 (220)

A weak generalized localization criterion for multiple Walsh-Fourier series with J k -lacunary sequence of rectangular partial sums

Proceedings of the Steklov Institute of Mathematics, 2014
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Bloshanskaya, S. K., Bloshanskii, I. L.
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On the growth order of the rectangular partial sums of multiple non-orthogonal series

Analysis Mathematica, 1980
Пустьd-натуральное ч исло,Z d — множество на боров k=(k 1, ...,k d ), состоящих из неотрицательных цел ыхk j ,Z + =k∈Z d ...
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Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence

Mathematical Notes, 2008
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Bloshanskii, I. L., Lifantseva, O. V.
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Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with J k -lacunary sequence of rectangular partial sums

Analysis Mathematica, 2013
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Bloshanskii, I. L., Lifantseva, O. V.
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Strong approximation by rectangular partial sums of double orthogonal series

Analysis Mathematica, 1987
Two theorems connected with strong approximation by rectangular partial sums of double orthogonal series of the form \(\sum^{\infty}_{i=1}\sum^{\infty}_{k=1}a_{ik}\phi_{ik}(x),\) where \(\{a_{ik}:\) \(i,k=1,2,...\}\) is a double sequence of real numbers for which \(\sum^{\infty}_{i=1}\sum^{\infty}_{k=1}a^ 2_{ik}
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On the order of growth of rectangular partial sums of double orthogonal series

Ukrainian Mathematical Journal, 1999
Summary: Estimates of the growth order of rectangular partial sums of double orthogonal series are obtained. The fact that these estimates cannot be improved on the set of all double orthogonal systems is established.
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Rate of approximation by rectangular partial sums of double orthogonal series

Analysis Mathematica, 1996
The author studies the rate of almost everywhere approximation to square integrable functions by the rectangular partial sums of their orthogonal expansion \[ \sum_{j=0}^\infty \sum_{k=0}^\infty a_{jk}\phi_{jk}(x), \] where \(\{\phi_{jk}(x)\}\) is a double orthonormal system on a positive measure space.
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A general moment inequality for the maximum of the rectangular partial sums of multiple series

Acta Mathematica Hungarica, 1983
Abstract : In a recent paper (7) we presented a general method of how to obtain an upper estimate for a fixed moment of the maximum of partial sums of a single series in terms of the given 'a priori' upper estimate for the same moment of the partial sums. Now we extend this method from single series to multiple series.
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Rectangular oscillation of the sequence of partial sums of a multiple Fourier series and absence of the BMO property

Mathematical Notes, 1992
See the review in Zbl 0764.42008.
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Modeling of heat transfer in a narrow rectangular channel with partial swelling blockage

Nuclear Engineering and Design, 2022
Xiaojing Liu, Hui He
exaly