Integral Inequalities Involving Strongly Convex Functions
Joint Authors
Chu, Yu-Ming
Zaheer Ullah, Syed
Song, Ying-Qing
Adil Khan, M.
Source
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
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