Volume 2,  Issue 2, 2001

Article 21

REFINEMENTS OF CARLEMAN'S INEQUALITY

BAO-QUAN YUAN

DEPARTMENT OF MATHEMATICS,
JIAOZUO INSTITUTE OF TECHNOLOGY 
JIAOZUO CITY, HENAN PROVINCE 454000
PEOPLE'S REPUBLIC OF CHINA
E-Mail: baoquanyuan@chinaren.com

Received 18 August, 2000; accepted 2 March, 2001.
Communicated by: J.E. Pecaric


ABSTRACT.   In this paper, we obtain a class of refined Carleman's Inequalities with arithmetic-geometric mean inequality by decreasing their weight coefficient.
Key words:
Carleman's inequalityarithmetic-geometric mean inequality, weight coefficient.

2000 Mathematics Subject Classification:
26D15.


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Improved Inclusion-Exclusion Inequalities for Simplex and Orthant Arrangements
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Sub-super Solutions and the Existence of Extremal Solutions in Noncoercive Variational Inequalities
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Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators
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