Geodesic
A Hilbert-type integral inequality with a hybrid kernel and its applications
Qiong Liu 1   ; Dazhao Chen 1
1 Department of Science and Information Shao Yang University Shao Yang, China 422000
Colloquium Mathematicum, Tome 143 (2016) no. 2, pp. 193-207 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.
DOI : 10.4064/cm6572-1-2016
Keywords: prove multi parameter hilbert type integral inequality hybrid kernel describe best constant inequality terms hypergeometric functions equivalent forms inequalities studied specifying parameter values obtain results proved other authors many inequalities

Qiong Liu  1   ; Dazhao Chen  1

1 Department of Science and Information Shao Yang University Shao Yang, China 422000 
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Qiong Liu; Dazhao Chen. A Hilbert-type integral inequality with a hybrid kernel and its applications. Colloquium Mathematicum, Tome 143 (2016) no. 2, pp. 193-207. doi: 10.4064/cm6572-1-2016

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