Geodesic
A Hilbert's type inequality with four parameters
Filomat, Tome 36 (2022) no. 2, p. 641

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DOI

In this paper, by introducing four parameters A, B, α, β and using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert's type inequality
DOI : 10.2298/FIL2202641X
Classification : 26D15
Keywords: Hilbert’s type inequality, weight coefficient, Hölder’s inequality, Riemann zeta function, generalizations 
Gaowen Xi. A Hilbert's type inequality with four parameters. Filomat, Tome 36 (2022) no. 2, p. 641 . doi: 10.2298/FIL2202641X
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     author = {Gaowen Xi},
     title = {A {Hilbert's} type inequality with four parameters},
     journal = {Filomat},
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     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202641X},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202641X/}
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