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Vietnam Journal of Mathematics 40:1 (2012)
31-45
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A Generalization of Hardy-Hilbert’s Inequality
with Multi-Parameter
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Namita Das1 and Srinibas Sahoo2
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1P. G. Department of Mathematics, Utkal
University, Vani Vihar,
Bhubaneswar, Orissa, 751004, India
2Department of Mathematics, Jatni College, Jatni,
Khurda,
Orissa, 752050, India
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Received March 21, 2011
Revised November 7, 2011
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Abstract. In this paper, by introducing four
parameters A, B, α and β, we give a new
generalization of Hardy-Hilbert’s inequality with best constant factor. As
applications, the equivalent form and some particular results are derived.
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2000 Mathematics
Subject Classification. 26D15.
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Keywords. Hardy-Hilbert’s inequality, Hölder’s
inequality, β-function.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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