A new discrete Hilbert-type inequality involving partial sums

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作者
Vandanjav Adiyasuren
Tserendorj Batbold
Laith Emil Azar
机构
[1] National University of Mongolia,Department of Mathematics
[2] Al al-Bayt University,Department of Mathematics
关键词
Hilbert-type inequality; Gamma function; The best possible constant; Conjugate exponents; 26D15;
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摘要
In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.
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