2008•Journal of Wuhan UniversityRequires access

A Best Generalization of Reverse Hilbert-Type Inequality

Yang Bi-cheng

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Abstract

By introducing a parameter λ and estimating the weight coefficient,we give a generalization of the reverse Hilbert-type inequality with a parameter and a best constant factor.As applications,the equivalent forms induding only one of those non-negative sequence of real number and some particular results when λ takes special value are considered.

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By introducing a parameter λ and estimating the weight coefficient,we give a generalization of the reverse Hilbert-type inequality with a parameter and a best constant factor.As applications,the equivalent forms induding only one of those non-negative sequence of real number and some particular results when λ takes special value are considered.

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Available abstract

By introducing a parameter λ and estimating the weight coefficient,we give a generalization of the reverse Hilbert-type inequality with a parameter and a best constant factor.As applications,the equivalent forms induding only one of those non-negative sequence of real number and some particular results when λ takes special value are considered.

Key concepts: Generalization, Mathematics, Constant (computer programming), Type (biology), Sequence (biology), Value (mathematics), Inequality, Log sum inequality

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