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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On Some Fundamental Integral Inequalities and their Discrete Analogues
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Improved Inclusion-Exclusion Inequalities for Simplex and Orthant Arrangements
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Monotonic Refinements of a Ky Fan Inequality
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Sub-super Solutions and the Existence of Extremal Solutions in Noncoercive Variational Inequalities
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Refinements of Carleman's Inequality
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Inequalities related to the Chebychev Functional Involving Integrals Over Different Intervals
I. Budimir, P. Cerone, and  J. Pecaric

Some Distortion Inequalities Associated with the Fractional Derivatives of Analytic and Univalent Functions
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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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Bounds for Entropy and Divergence for Distributions over a Two-Element Set
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