On a Discrete Hilbert Type Inequality With Non–Homogeneous Kernel
New extensions are given for the discrete Hilbert type inequality with non–homogeneous kernel. By this, recently published results by Pogány have been improved by a Hilbert type inequalities in homogeneous kernel case derived by Krnić and Pečarić. Mathematical tools also used are the Dirichlet serie...
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| Published in | Sarajevo journal of mathematics Vol. 6; no. 1; pp. 23 - 34 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
11.06.2024
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| Online Access | Get full text |
| ISSN | 1840-0655 2233-1964 |
| DOI | 10.5644/SJM.06.1.02 |
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| Abstract | New extensions are given for the discrete Hilbert type inequality with non–homogeneous kernel. By this, recently published results by Pogány have been improved by a Hilbert type inequalities in homogeneous kernel case derived by Krnić and Pečarić. Mathematical tools also used are the Dirichlet series’ Laplace–integral representation and the classical Hölder inequality.
2000 Mathematics Subject Classification. Primary 26D15; Secondary 40B05, 40G99 |
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| AbstractList | New extensions are given for the discrete Hilbert type inequality with non–homogeneous kernel. By this, recently published results by Pogány have been improved by a Hilbert type inequalities in homogeneous kernel case derived by Krnić and Pečarić. Mathematical tools also used are the Dirichlet series’ Laplace–integral representation and the classical Hölder inequality.
2000 Mathematics Subject Classification. Primary 26D15; Secondary 40B05, 40G99 |
| Author | Pečarić, Josip Draščić Ban, Biserka Pogány, Tibor K. |
| Author_xml | – sequence: 1 givenname: Biserka surname: Draščić Ban fullname: Draščić Ban, Biserka – sequence: 2 givenname: Josip surname: Pečarić fullname: Pečarić, Josip – sequence: 3 givenname: Tibor K. surname: Pogány fullname: Pogány, Tibor K. |
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| Title | On a Discrete Hilbert Type Inequality With Non–Homogeneous Kernel |
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