Title of article
Hilbert’s double series theorem extended to the case of non-homogeneous kernels
Author/Authors
Tibor K. Pog?ny 1، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
5
From page
1485
To page
1489
Abstract
Sharp version of celebrated Hilbert’s double series theorem is given in the case of non-homogeneous kernel. The main mathematical
tools are: the integral representation of Mathieu’s (a,λ)-series, the Hölder inequality and an extension of the double series
theorem by Yang.
© 2007 Elsevier Inc. All rights reserved
Keywords
?)-series , Mathieu’s (a , Dirichlet-series , Non-homogeneous kernel , H?lder inequality , Hilbert’s double series theorem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937075
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