DISCRETE MULTIPLE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL

Title & Authors
DISCRETE MULTIPLE HILBERT TYPE INEQUALITY WITH NON-HOMOGENEOUS KERNEL
Ban, Biserka Drascic; Pecaric, Josip; Peric, Ivan; Pogany, Tibor;

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.
Keywords
discrete Hilbert type inequality;discrete multiple Hilbert type inequality;Dirichlet-series;non-homogeneous kernel;homogeneous kernel;multiple H$\small{\ddot{o}}$lder inequality;Tornheim's double sum;Witten Zeta function;Mordell-Tornheim Zeta function;
Language
English
Cited by
1.
Recent Developments of Hilbert-Type Discrete and Integral Inequalities with Applications, International Journal of Mathematics and Mathematical Sciences, 2012, 2012, 1
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