A NEW HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE.

Autor: DONGMEI XIN, BICHENG YANG, LEPING HE
Předmět:
Zdroj: Journal of Mathematical Inequalities; Dec2023, Vol. 17 Issue 4, p1521-1538, 18p
Abstrakt: By means of the weight coefficients and the idea of introduced parameters, a new discrete Hilbert-type inequality in the whole plane is given, which is an extension of Hardy-Hilbert's inequality. The equivalent form is obtained. The equivalent statements of the best possible constant factor related to several parameters, the operator expressions and a few particular inequalities are considered. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index