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Hilbert's double series theorem extended to the case of non-homogeneous kernels |
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| Authors: | Tibor K Pogány |
| Institution: | Department of Sciences, Faculty of Maritime Studies, University of Rijeka, 51000 Rijeka, Studentska 2, Croatia |
| 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. |
| Keywords: | Hilbert's double series theorem Dirichlet-series Mathieu's _method=retrieve& _eid=1-s2 0-S0022247X07014412& _mathId=si2 gif& _pii=S0022247X07014412& _issn=0022247X& _acct=C000051805& _version=1& _userid=1154080& md5=dbf39438d2d27228c8ced2d70dda926c')" style="cursor:pointer (a" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">(a λ)-series Hö lder inequality Non-homogeneous kernel |
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