Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 2 1 2021 01 01 On a Hilbert-type integral inequality in the whole plane 39 51 141199 10.30504/jims.2021.309063.1044 EN M. Th. Rassias Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 16673 Vari Attikis, Greece B. Yang Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China G. C. Meletiou University of Ioannina‎, ‎Ioannina‎, ‎Greece. Journal Article 2021 10 05 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. Hilbert-type integral inequality weight function parameter equivalent form operator https://jims.ims.ir/article_141199_6571442b44c855f21c2366add0eb0bef.pdf