Generalized Convex Functions on Fractal Sets and Two Related Inequalities

Joint Authors

Mo, Huixia
Sui, Xin
Yu, Dongyan

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-06-15

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We introduce the generalized convex function on fractal sets Rα (0<α≤1) of real line numbers and study the properties of the generalized convex function.

Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's inequality.

Furthermore, some applications are given.

American Psychological Association (APA)

Mo, Huixia& Sui, Xin& Yu, Dongyan. 2014. Generalized Convex Functions on Fractal Sets and Two Related Inequalities. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033899

Modern Language Association (MLA)

Mo, Huixia…[et al.]. Generalized Convex Functions on Fractal Sets and Two Related Inequalities. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033899

American Medical Association (AMA)

Mo, Huixia& Sui, Xin& Yu, Dongyan. Generalized Convex Functions on Fractal Sets and Two Related Inequalities. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033899

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033899