On a multiple Hilbert-type integral inequality involving the upper limit functions
نویسندگان
چکیده
Abstract By applying the weight functions, idea of introducing parameters and technique real analysis, a new multiple Hilbert-type integral inequality involving upper limit functions is given. The constant factor related to gamma function proved be best possible in condition. A corollary about case nonhomogeneous kernel some particular inequalities are obtained.
منابع مشابه
On a more accurate multiple Hilbert-type inequality
By using Euler-Maclaurin's summation formula and the way of real analysis, a more accurate multipleHilbert-type inequality and the equivalent form are given. We also prove that the same constantfactor in the equivalent inequalities is the best possible.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-021-02551-9