On a Hilbert-type integral inequality in the whole plane with the equivalent forms
Journal article
B. C. Yang, D. Andrica, Bagdasar, O. and M. Th. Rassias 2023. On a Hilbert-type integral inequality in the whole plane with the equivalent forms. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. (57), pp. 1-16. https://doi.org/10.1007/s13398-023-01388-9
| Authors | B. C. Yang, D. Andrica, Bagdasar, O. and M. Th. Rassias |
|---|---|
| Abstract | In the present paper we establish a few equivalent conditions of a Hilbert-type integral inequality with a non-homogeneous kernel in the whole plane. A few equivalent conditions of a Hilbert-type integral inequality with the homogeneous kernel in the whole plane are deduced, in the form of applications. We additionally consider operator expressions and several interesting particular cases. |
| Keywords | Hilbert-type integral inequality ; non-homogeneous kernel; operator expressions |
| Year | 2023 |
| Journal | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas |
| Journal citation | (57), pp. 1-16 |
| Publisher | Springer |
| ISSN | 1578-7303 |
| 1579-1505 | |
| Digital Object Identifier (DOI) | https://doi.org/10.1007/s13398-023-01388-9 |
| Web address (URL) | http://dx.doi.org/10.1007/s13398-023-01388-9 |
| Output status | Published |
| Publication dates | 22 Jan 2023 |
| Publication process dates | |
| Accepted | 03 Jan 2023 |
| Deposited | 01 Mar 2023 |
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