Reverse Hardy-Type Integral Inequalities with Two Independent Parameters

Bei Yang; Guang Sheng Chen

doi:10.4028/www.scientific.net/AMR.811.720

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 811Reverse Hardy-Type Integral Inequalities with Two...

Reverse Hardy-Type Integral Inequalities with Two Independent Parameters

Abstract:

By introducing two independent parameters , using weight function and the method of real analisis,some extended reverse Hardy-type integral inequalities were established, and their constant factors were proved to be the optimum value. we have also considered the equivalent forms and some particular results.

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Periodical:

Advanced Materials Research (Volume 811)

Pages:

720-724

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.811.720

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Online since:

September 2013

Authors:

Bei Yang, Guang Sheng Chen

Keywords:

Best Constant Factor, Equivalent Form, Hardy-Type Integral Inequality, Weight Function

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References

[1] Hardy G H. Littlewood J E．Polya G．Inequalities[M]．Cambridge：Cambridge Urav．Press．1952.

Google Scholar

[2] Hardy G H. Note on a Theorem of Hilbert Concerning Series of Positive Terms[J] . Proc London Math Soc, 1925, 23(2): 45-46.

Google Scholar

[3] Hardy G H. note on a theorem of hilbert[J]. Math Zeitschr, 1920, 6: 314-317.

Google Scholar

[4] Mitrinovic D S，Pecaric J E，Fink A M．Inequalities involving functions and their integrals and derivatives[M]．Boston：Kluwer Academic Publishers。l991.

Google Scholar

[5] YANG B C, BRNETI'I, KRNI'M et al. Generalization of Hilbert and Hardy-Hilbert integral inequalities[J]. Math Ineq Appl, 2005, 8(2): 259-272.

DOI: 10.7153/mia-08-25

Google Scholar

[6] Yang Bicheng. About the Hilbert integral inequality of parametrization promotion [J]. Journal of guangdong institute of education, 2008, 28 (3) : 18 to 21.

Google Scholar

[7] Yang Bicheng. On the reverse of parametrization Hardy type integral inequality [J]. Journal of zhejiang university (science edition), 2010, 5 (1) : 5-8.

Google Scholar

[8] KuangJiChang. Inequalities [M]. Jinan: shandong science and technology press, (2004).

Google Scholar