Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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DISCRETE MULTIPLE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL

  • Ban, Biserka Drascic (FACULTY OF MARITIME STUDIES UNIVERSITY OF RIJEKA) ;
  • Pecaric, Josip (FACULTY OF TEXTILE TECHNOLOGY UNIVERSITY OF ZAGREB) ;
  • Peric, Ivan (FACULTY OF FOOD TECHNOLOGY AND BIOTECHNOLOGY UNIVERSITY OF ZAGREB) ;
  • Pogany, Tibor (FACULTY OF MARITIME STUDIES UNIVERSITY OF RIJEKA)
  • Published : 2010.05.01
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Abstract

Multiple discrete Hilbert type inequalities are established in the case of non-homogeneous kernel function by means of Laplace integral representation of associated Dirichlet series. Using newly derived integral expressions for the Mordell-Tornheim Zeta function a set of subsequent special cases, interesting by themselves, are obtained as corollaries of the main inequality.

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References

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  1. Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications vol.2012, 2012, https://doi.org/10.1155/2012/871845