Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s -convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.

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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-9
Hauptverfasser: Liko, Rozana, Kashuri, Artion, Chu, Yu-Ming, Adil Khan, M., Ali, Gohar
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Calculus
Convex analysis
Inequalities
Integrals
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Beschreibung
Zusammenfassung:We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s -convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/6928130