On integral inequalities of Hermite-Hadamard type for \(s\)-geometrically convex functions. (English) Zbl 1253.26047

Zhang, Tian-Yu; Ji, Ai-Ping; Qi, Feng

Abstr. Appl. Anal. 2012, Article ID 560586, 14 p. (2012); erratum ibid. 2014, Article ID 294739, 5 p. (2014).

Summary: We introduce the concept of the \(s\)-geometrically convex functions. By the well-known Hölder inequality, we establish some integral inequalities of Hermite-Hadamard type related to the \(s\)-geometrically convex functions and apply these inequalities to special means.

MSC:

26D15

Inequalities for sums, series and integrals

Keywords:

\(s\)-geometrically convex functions; Hölder inequality; integral inequalities of Hermite-Hadamard type

References:

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