New fractional inequalities of midpoint type via s-convexity and their application

New fractional inequalities of midpoint type via s-convexity and their application

In this study, we introduced new integral inequalities of Hermite–Hadamard type via s -convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special...

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Veröffentlicht in:Journal of inequalities and applications 2019-10, Vol.2019 (1), p.1-19, Article 267
Hauptverfasser: Almutairi, Ohud, Kılıçman, Adem
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Convex functions
Convexity
Hermite–Hadamard inequality
Hölder’s inequality
Inequalities
Mathematics
Mathematics and Statistics
Midpoint formula
Real numbers
Special means
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Beschreibung
Zusammenfassung:In this study, we introduced new integral inequalities of Hermite–Hadamard type via s -convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-019-2215-3