New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex

In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematics (Basel) 2019-02, Vol.7 (2), p.183
Hauptverfasser:	Kermausuor, Seth, Nwaeze, Eze, Tameru, Ana
Format:	Artikel
Sprache:	eng
Schlagworte:	Convex analysis Derivatives Fractional calculus Hadamard fractional integrals Hermite–Hadamard type inequality Hölder’s inequality Inequalities Inequality Integrals Katugampola fractional integrals Mathematics Power mean inequality Riemann–Liouville fractional integrals strongly η-convex functions
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Beschreibung
Zusammenfassung:	In this paper, we introduced some new integral inequalities of the Hermite–Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
ISSN:	2227-7390 2227-7390
DOI:	10.3390/math7020183