[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2010.47.3.537

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)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.3, 2010 , pp. 537-546 More about this Journal

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 $\ddot{o}$ lder inequality; Tornheim's double sum; Witten Zeta function; Mordell-Tornheim Zeta function;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference

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