Equivalent conditions and applications of a class of Hilbert-type integral inequalities involving multiple functions with quasi-homogeneous kernels View Full Text


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Article Info

DATE

2018-12

AUTHORS

Junfei Cao, Bing He, Yong Hong, Bicheng Yang

ABSTRACT

Let K ( x 1 , , x n ) satisfy K ( x 1 , , t x i , , x n ) = t λ λ i K ( t - λ i λ 1 x 1 , , x i , , t - λ i λ n x n ) for t > 0 . With this integral kernel, by using the method and technique of weight coefficients, the equivalent conditions and the best constant factors for the validity of Hilbert-type integral inequalities involving multiple functions are discussed. Finally, the applications of the integral inequalities are considered. More... »

PAGES

206

References to SciGraph publications

  • 2015-12. On a Hardy-Hilbert-type inequality with parameters in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2016-12. A discrete Hilbert-type inequality in the whole plane in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2016-12. A relation between two simple Hardy-Mulholland-type inequalities with parameters in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2010-12. On a Multiple Hilbert-Type Integral Operator and Applications in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2019-04. On a Hilbert-Type Integral Inequality Related to the Extended Hurwitz Zeta Function in the Whole Plane in ACTA APPLICANDAE MATHEMATICAE
  • 2016-12. On a more accurate Hardy-Mulholland-type inequality in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2014. Analytic Number Theory, Approximation Theory, and Special Functions, In Honor of Hari M. Srivastava in NONE
  • 2006-12. on multiple Hardy-Hilbert integral inequalities with some parameters in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1186/s13660-018-1797-5

    DOI

    http://dx.doi.org/10.1186/s13660-018-1797-5

    DIMENSIONS

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    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/30839570


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