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A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE
Author(s) -
Bicheng Yang,
Bing He
Publication year - 2017
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 - 10.11948/2017061
Subject(s) - mathematics , hölder's inequality , rearrangement inequality , inequality , mathematical analysis , log sum inequality , operator (biology) , jensen's inequality , pure mathematics , linear inequality , regular polygon , convex analysis , geometry , convex optimization , biochemistry , chemistry , repressor , transcription factor , gene
By the use of Hermite-Hadamard’s inequality and weight functions, a new half-discrete Hilbert-type inequality in the whole plane with multiparameters is given. The constant factor related to the gamma function is proved to be the best possible. The equivalent forms, two kinds of particular inequalities, and the operator expressions are considered.

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