본문 바로가기
KERD
논문KCI 등재

A New Hilbert-type Inequality with the Integral in Whole Plane

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.

Abstract

In this paper, by estimating the weight function, we give a new Hilbert-type inequality with the integral in whole plane. As its applications, we consider the equivalent and a particular result.

참고문헌 (18)

  1. Hardy G. H., "Inequalities" (1952), Cambridge University Press
  2. Zitian Xie, "A Hilbert-type integral inequality whose kernel is a ho- mogeneous form of degree -3", J. Math. Appl., 339, pp.324~331 (2008)
  3. Bicheng Yang, "On the the norm of an intergal operator and applications", J. Math. Anal. Appl., 321, pp.182~192 (2006)
  4. Zitian Xie, "A Hilbert-type integral inequality with a non-homogeneous form and a best constant factor", Advances and applications in mathmatical sciences, 3(1), pp.61~71 (2010)
  5. Xie Zitian, "A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree", Journal of Jishou University(Natturnal Science Edition), 32(4), pp.26~30 (2011)
  6. Bicheng Yang, "A Hilbert-type with a mixed kemel and extensions", Journal of Sichuan Normal University(Natural Science), 31(3), pp.281~284 (2008)
  7. Zheng Zeng, "A new Hilbert-type integral inequality with a best constant factor", Journal of South China Normal University (Natural Science Edition), 3, pp.31~33 (2010)
  8. Zheng Zeng, "On a new Hilbert-type integral inequality with the the integral in whole plane", Journal of Inequalities and Applicationsvol (2010)[DOI]
  9. Zitian Xie, "A New Hilbert-type integral inequality with the homogeneous kernel of real number-degree", Journal of Jilin University(Science Edition), 48(6), pp.941~945 (2010)
  10. Zitian Xie, "A new Hilbert-type integral inequality with the best constant factor", J. Wuhan Univ. (Nat. Sci. Ed), 55(6), pp.637~640 (2009)
  11. Dongmei Xin, "On a New Hilbert-type Integral Inequality", Kyungpook Mathematical Journal, 49(2), pp.393~401 (2009), 경북대학교 자연과학대학 수학과
  12. Zitian Xie, "A new Hilbert-type integral inequality and its reverse", Journal of Henan University (Science Edition), 39(1), pp.10~13 (2009)
  13. Zheng Zeng, "A new Hilbert-type integral inequality with a best constant factor", Journal of South China Normal University (Natural Science Edition), 3, pp.31~33 (2010)
  14. Zitian Xie, "A New Hilbert-type Integral Inequality with Some Parametersand Its Reverse", Kyungpook Mathematical Journal, 48(1), pp.93~100 (2008), 경북대학교 자연과학대학 수학과
  15. Xie Zitian, "A new Hilberttype integral inequality with the homogeneous kernel of degree 0", Journal of Southwest University (Natturnal Science Edition), 23(8), pp.137~141 (2011)
  16. Xie Zitian, "A Hilbert-type integral inequality with the homogeneous ker- nel of real number-degree and its equivalent", Journal of Zhejiang University (Science Edition)
  17. Bicheng Yang, "On a Relation to Hilbert’s Integral Inequality and a Hilbert- Type Inequality", Kyungpook Mathematical Journal, 49(3), pp.563~572 (2009), 경북대학교 자연과학대학 수학과
  18. Zitian Xie, "The Hilbert-type Integral Inequality with the System Kernel of -λ Degree Homogeneous Form", Kyungpook Mathematical Journal, 50(2), pp.297~306 (2010), 경북대학교 자연과학대학 수학과

관련 논문AI추천

이 간행물의 다른 논문 (9건)