Open AccessA FEW EQUIVALENT STATEMENTS OF A HILBERT-TYPE INTEGRAL INEQUALITY WITH THE RIEMANN-ZETA FUNCTION
Author(s) -
WU Wei-liang,
Bicheng Yang
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20190238
Subject(s) - mathematics , riemann zeta function , mathematical analysis , arithmetic zeta function , pure mathematics , riemann hypothesis , real analysis , type (biology) , ecology , biology
By using the way of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality in the whole plane with the internal variables and the best possible constant factor related to the Riemann-zeta function is proved. The operator expression and some particular cases are considered.
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