Recently, many fractional integral operators were introduced by dierent mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was dened by Atangana and Baleanu in [2]. In this study, rstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.

Fractional Integral Inequalities via Atangana-Baleanu Operators for Convex and Concave Functions

MARIA ALESSANDRA RAGUSA
;
2021-01-01

Abstract

Recently, many fractional integral operators were introduced by dierent mathematicians. One of these fractional operators, Atangana-Baleanu fractional integral operator, was dened by Atangana and Baleanu in [2]. In this study, rstly, a new identity by using Atangana-Baleanu fractional integral operators are proved. Then, new fractional integral inequalities have been obtained for convex and concave functions with the help of this identity and some certain integral inequalities.
2021
Convex functions, Holder inequality, Young inequality, power mean inequality, Atangana-Baleanu fractional derivative, Atangana-Baleanu fractinal derivative
File in questo prodotto:
File Dimensione Formato  
FROM_THE_WEB_Fractional Integral Inequalities_JFS.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: Creative commons
Dimensione 217.99 kB
Formato Adobe PDF
217.99 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/511905
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 43
  • ???jsp.display-item.citation.isi??? 39
social impact