On a Hilbert-type integral inequality in the whole plane

نویسندگان
Rassias, M. Th. ID 1
Yang, B. ID 2
Meletiou, G. C. ID 3

1 Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece

2 Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China

3 University of Ioannina‎, ‎Ioannina‎, ‎Greece.

doi
10.30504/jims.2021.309063.1044
چکیده

Using weight functions and techniques of real analysis, a new Hilbert-type integral inequality in the whole plane with nonhomogeneous kernel and a best possible constant factor is proved. Equivalent forms, several particular inequalities and operator expressions are considered.

کلیدواژه‌ها
Hilbert-type integral inequality, weight function, parameter, equivalent form, operator