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Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The main aim of this paper is to prove that the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series does not improve the convergence in measure.
In other words, we prove that for any Orlicz space, which is not a subspace of L log+ L(I2), the set of the functions the logarithmic means of quadratical partial sums of the double Walsh-Kaczmarz series of which converge in measure is of first Baire category.
American Psychological Association (APA)
Goginava, Ushangi& Nagy, Károly. 2012. Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994238
Modern Language Association (MLA)
Goginava, Ushangi& Nagy, Károly. Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series. Journal of Function Spaces No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-994238
American Medical Association (AMA)
Goginava, Ushangi& Nagy, Károly. Convergence in Measure of Logarithmic Means of Quadratical Partial Sums of Double Walsh-Kaczmarz-Fourier Series. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-994238
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994238