Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2020-07, Vol.18 (1), p.794-806
Hauptverfasser: Han, Jiangfeng, Mohammed, Pshtiwan Othman, Zeng, Huidan
Format: Artikel
Sprache:eng
Schlagworte:
26A33
26D07
26D10
26D15
convex function
Fractional calculus
Inequalities
integral inequalities
Integrals
mt-convex function
Riemann-Liouville fractional integral
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Zusammenfassung:The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for -convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0038