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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 281 - 288 (8page)
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초록· 키워드
오류제보하기
By introducing some parameters and using the way of weight function and the technic of real analysis and complex analysis, a new Hilbert-type integral inequality with a best constant factor and a combination kernel involving two mean values is given, which is an extension of Hilbert's integral inequality. As applications, the equivalent form and the reverse forms are considered.
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등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
Bicheng Yang / 2004 / On a generalization of the Hilbert's type inequality and its applications / Chinese Journal of Engineering Mathematics 21 (5) : 821 ~ 824
Bicheng Yang / 2005 / Generalization of Hilbert and Hardy-Hilbert integral inequalities / Mathematical Inequalities and Applications 8 (2) : 259 ~ 272
Chune Xie / 2007 / Best generalization of a new Hilbert-type inequality / Journal of Jinan University (Natural Science) 28 (1) : 24 ~ 27
D. S. Mintrinovic / 1991 / Inequalities involving functions and their integrals and derivertives / Kluwer Academic Publishers
G. H. Hardy / 1952 / Inequalities / Cambridge Univ. Press
Bicheng Yang / 2005 / Generalization of Hilbert and Hardy-Hilbert integral inequalities / Mathematical Inequalities and Applications 8 (2) : 259 ~ 272
Chune Xie / 2007 / Best generalization of a new Hilbert-type inequality / Journal of Jinan University (Natural Science) 28 (1) : 24 ~ 27
D. S. Mintrinovic / 1991 / Inequalities involving functions and their integrals and derivertives / Kluwer Academic Publishers
G. H. Hardy / 1952 / Inequalities / Cambridge Univ. Press
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