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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Kórus Péter
Nápoles Valdés Juan Eduardo
Rodríguez José Manuel
Sigarreta Almira José María
Dokumentumtípus: Cikk
Megjelent: 2024
Sorozat:MISKOLC MATHEMATICAL NOTES 25 No. 2
Tárgyszavak:
doi:10.18514/MMN.2024.4366

mtmt:35621679
Online Access:http://publicatio.bibl.u-szeged.hu/37077
LEADER 01241nab a2200253 i 4500
001 publ37077
005 20250623141711.0
008 250623s2024 hu o 000 eng d
022 |a 1787-2405 
024 7 |a 10.18514/MMN.2024.4366  |2 doi 
024 7 |a 35621679  |2 mtmt 
040 |a SZTE Publicatio Repozitórium  |b hun 
041 |a eng 
100 1 |a Kórus Péter 
245 1 0 |a Petrović-type inequality via fractional calculus  |h [elektronikus dokumentum] /  |c  Kórus Péter 
260 |c 2024 
300 |a 819-828 
490 0 |a MISKOLC MATHEMATICAL NOTES  |v 25 No. 2 
520 3 |a 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. 
650 4 |a Matematika 
700 0 2 |a Nápoles Valdés Juan Eduardo  |e aut 
700 0 2 |a Rodríguez José Manuel  |e aut 
700 0 2 |a Sigarreta Almira José María  |e aut 
856 4 0 |u http://publicatio.bibl.u-szeged.hu/37077/1/2024.Petrovic-typeinequalityviafractionalcalculus.pdf  |z Dokumentum-elérés