New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral

New extensions of Hermite–Hadamard inequalities via generalized proportional fractional integral

The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals.

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Veröffentlicht in:Numerical methods for partial differential equations 2024-03, Vol.40 (2), p.n/a
Hauptverfasser: Mumcu, İlker, Set, Erhan, Akdemir, Ahmet Ocak, Jarad, Fahd
Format: Artikel
Sprache:eng
Schlagworte:
confluent hypergeometric function
Fractional calculus
Hermite–Hadamard inequalities
Inequalities
Integrals
proportional fractional integral operators
Riemann–Liouville fractional integral operators
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Zusammenfassung:The main aim this work is to give Hermite–Hadamard inequalities for convex functions via generalized proportional fractional integrals. We also obtained extensions of Hermite–Hadamard type inequalities for generalized proportional fractional integrals.
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22767