Open AccessThe Hilbert-Type Integral Inequality with the System Kernel of-λ Degree Homogeneous Form
Author(s) -
Xie Zi-tian,
Zheng Zeng
Publication year - 2010
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2010.50.2.297
Subject(s) - mathematics , degree (music) , kernel (algebra) , homogeneous , type (biology) , operator (biology) , pure mathematics , mathematical analysis , positive definite kernel , operator theory , fourier integral operator , combinatorics , ecology , gene , transcription factor , chemistry , biochemistry , physics , repressor , biology , acoustics
In this paper, the integral operator is used. We give a new Hilbert-type integral inequality, whose kernel is the homogeneous form with degree - and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results of this paper represent an extension as well as some improvements of the earlier results.
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