@article { author = {Rassias, M. and Yang, B. and Meletiou, G.}, title = {On a Hilbert-type integral inequality in the whole plane}, journal = {Journal of the Iranian Mathematical Society}, volume = {2}, number = {1}, pages = {39-51}, year = {2021}, publisher = {Iranian Mathematical Society}, issn = {2717-1612}, eissn = {2717-1612}, doi = {10.30504/jims.2021.309063.1044}, abstract = {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.}, keywords = {Hilbert-type integral inequality,weight function,parameter,equivalent form,operator}, url = {https://jims.ims.ir/article_141199.html}, eprint = {https://jims.ims.ir/article_141199_a726440e0929ea956c8fa65786aab4ca.pdf} }