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Multiple Hilbert’s type inequalities with a homogeneous kernel. (English) Zbl 1223.26044
Summary: The main objective of this paper is a study of some new generalizations of Hilbert’s and Hardy-Hilbert’s type inequalities. We apply our general results to homogeneous functions. Also, we obtain the best possible constants when the parameters satisfy appropriate conditions.
MSC:
26D15Inequalities for sums, series and integrals of real functions
47A07Forms on topological linear spaces