Hermite-Hadamard inequalities for B-convex and B-1-convex functions

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Yesilce I., ADİLOV G.

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol.8, no.1, pp.225-233, 2017 (ESCI)

• Publication Type: Article / Article
• Volume: 8 Issue: 1
• Publication Date: 2017
• Doi Number: 10.22075/ijnaa.2017.1621.1427
• Journal Name: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.225-233
• Keywords: Hermite-Hadamard Inequality, B-convex functions, B-1-convex functions, abstract convexity
• Akdeniz University Affiliated: Yes

Abstract

Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for B-convex and B-1-convex functions are proven.