Volume 17, Issue 2 (9-2022)
IJMSI 2022, 17(2): 87-95 |
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Abstract:
In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.
Keywords: Hilbert's type inequality, Weight coefficien, H"{o}lder inequality, Riemann-$zeta$ function, Reverse.
Type of Study: Research paper |
Subject:
General
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