A Hilbert-type integral inequality with a hybrid kernel and its applications

• Autorzy: Qiong Liu , Dazhao Chen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26D15: Inequalities for sums, series and integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 2
• Strony: 193-207

Daty

wydano

2016

Twórcy

autor

Qiong Liu

• Department of Science and Information, Shao Yang University, Shao Yang, China 422000

autor

Dazhao Chen

• Department of Science and Information, Shao Yang University, Shao Yang, China 422000

Identyfikatory

DOI

10.4064/cm6572-1-2016