Petrović-type inequality via fractional calculus
Inequalities play an important role in pure and applied mathematics. In particular, Petrović inequality is an important inequality which have several interesting generalizations. In this work we prove a new Petrović-type inequality for measurable functions defined on a space with finite measure, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Miskolc University Press
2024-01-01
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| Series: | Miskolc Mathematical Notes |
| Online Access: | http://mat76.mat.uni-miskolc.hu/mnotes/article/4366 |
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| _version_ | 1832592257673330688 |
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| author | Péter Kórus Juan Eduardo Nápoles Valdés José Manuel Rodríguez José Maríá Sigarreta Almira |
| author_facet | Péter Kórus Juan Eduardo Nápoles Valdés José Manuel Rodríguez José Maríá Sigarreta Almira |
| author_sort | Péter Kórus |
| collection | DOAJ |
| description | Inequalities play an important role in pure and applied mathematics. In particular, Petrović inequality is an important inequality which have several interesting generalizations. In this work we prove a new Petrović-type inequality for measurable functions defined on a space with finite measure, and we apply it to generalized Riemann–Liouville-type integral operators. |
| format | Article |
| id | doaj-art-f5a11cf155d44c608ea508e476b6b935 |
| institution | Kabale University |
| issn | 1787-2405 1787-2413 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Miskolc University Press |
| record_format | Article |
| series | Miskolc Mathematical Notes |
| spelling | doaj-art-f5a11cf155d44c608ea508e476b6b9352025-01-21T12:00:07ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132024-01-0125283310.18514/MMN.2024.4366Petrović-type inequality via fractional calculusPéter KórusJuan Eduardo Nápoles ValdésJosé Manuel RodríguezJosé Maríá Sigarreta AlmiraInequalities play an important role in pure and applied mathematics. In particular, Petrović inequality is an important inequality which have several interesting generalizations. In this work we prove a new Petrović-type inequality for measurable functions defined on a space with finite measure, and we apply it to generalized Riemann–Liouville-type integral operators.http://mat76.mat.uni-miskolc.hu/mnotes/article/4366 |
| spellingShingle | Péter Kórus Juan Eduardo Nápoles Valdés José Manuel Rodríguez José Maríá Sigarreta Almira Petrović-type inequality via fractional calculus Miskolc Mathematical Notes |
| title | Petrović-type inequality via fractional calculus |
| title_full | Petrović-type inequality via fractional calculus |
| title_fullStr | Petrović-type inequality via fractional calculus |
| title_full_unstemmed | Petrović-type inequality via fractional calculus |
| title_short | Petrović-type inequality via fractional calculus |
| title_sort | petrovic type inequality via fractional calculus |
| url | http://mat76.mat.uni-miskolc.hu/mnotes/article/4366 |
| work_keys_str_mv | AT peterkorus petrovictypeinequalityviafractionalcalculus AT juaneduardonapolesvaldes petrovictypeinequalityviafractionalcalculus AT josemanuelrodriguez petrovictypeinequalityviafractionalcalculus AT josemariasigarretaalmira petrovictypeinequalityviafractionalcalculus |