A Hilbert-type integral inequality with a hybrid kernel and its applications
Colloquium Mathematicae (2016)
- Volume: 143, Issue: 2, page 193-207
- ISSN: 0010-1354
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topQiong Liu, and Dazhao Chen. "A Hilbert-type integral inequality with a hybrid kernel and its applications." Colloquium Mathematicae 143.2 (2016): 193-207. <http://eudml.org/doc/284072>.
@article{QiongLiu2016,
abstract = {We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.},
author = {Qiong Liu, Dazhao Chen},
journal = {Colloquium Mathematicae},
keywords = {Hilbert-type integral inequality; best constant; hybrid kernel; hypergeometric function},
language = {eng},
number = {2},
pages = {193-207},
title = {A Hilbert-type integral inequality with a hybrid kernel and its applications},
url = {http://eudml.org/doc/284072},
volume = {143},
year = {2016},
}
TY - JOUR
AU - Qiong Liu
AU - Dazhao Chen
TI - A Hilbert-type integral inequality with a hybrid kernel and its applications
JO - Colloquium Mathematicae
PY - 2016
VL - 143
IS - 2
SP - 193
EP - 207
AB - We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.
LA - eng
KW - Hilbert-type integral inequality; best constant; hybrid kernel; hypergeometric function
UR - http://eudml.org/doc/284072
ER -
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