Hermite-Hadamard type inequalities for new conditions on h-convex functions via ψ-Hilfer integral operators

We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and ψ -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions.

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Vydané v:Analysis and mathematical physics Ročník 14; číslo 2
Hlavní autori: Benaissa, Bouharket, Azzouz, Noureddine, Budak, Hüseyin
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.04.2024
Predmet:
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Hermite–Hadamard inequality
Primary 26D10
Fractional conformable integrals
Fractional conformable derivative
26D15
26A33
ISSN:1664-2368, 1664-235X
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Popis
Shrnutí:We employ a new function class called B -function to create a new version of fractional Hermite–Hadamard and trapezoid type inequalities on the right-hand side that involves h -convex and ψ -Hilfer operators. We also provide new midpoint-type inequalities using h -convex functions.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-024-00893-3