Integral Inequalities Involving Strongly Convex Functions

Joint Authors

Chu, Yu-Ming
Zaheer Ullah, Syed
Song, Ying-Qing
Adil Khan, M.

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-06-11

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We study the notions of strongly convex function as well as F-strongly convex function.

We present here some new integral inequalities of Jensen’s type for these classes of functions.

A refinement of companion inequality to Jensen’s inequality established by Matić and Pečarić is shown to be recaptured as a particular instance.

Counterpart of the integral Jensen inequality for strongly convex functions is also presented.

Furthermore, we present integral Jensen-Steffensen and Slater’s inequality for strongly convex functions.

American Psychological Association (APA)

Song, Ying-Qing& Adil Khan, M.& Zaheer Ullah, Syed& Chu, Yu-Ming. 2018. Integral Inequalities Involving Strongly Convex Functions. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1186503

Modern Language Association (MLA)

Song, Ying-Qing…[et al.]. Integral Inequalities Involving Strongly Convex Functions. Journal of Function Spaces No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1186503

American Medical Association (AMA)

Song, Ying-Qing& Adil Khan, M.& Zaheer Ullah, Syed& Chu, Yu-Ming. Integral Inequalities Involving Strongly Convex Functions. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1186503

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186503