Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In the year 2003, McD Mercer established an interesting variation of Jensen’s inequality and later in 2009 Mercer’s result was generalized to higher dimensions by M.
Niezgoda.
Recently, Asif et al.
has stated an integral version of Niezgoda’s result for convex functions.
We further generalize Niezgoda’s integral result for functions with nondecreasing increments and give some refinements with applications.
In the way, we generalize an important result, Jensen-Boas inequality, using functions with nondecreasing increments.
These results would constitute a valuable addition to Jensen-type inequalities in the literature.
American Psychological Association (APA)
Khan, Asif R.& Saadi, Sumayyah. 2016. Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments. Abstract and Applied Analysis،Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1094750
Modern Language Association (MLA)
Khan, Asif R.& Saadi, Sumayyah. Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments. Abstract and Applied Analysis No. 2016 (2016), pp.1-12.
https://search.emarefa.net/detail/BIM-1094750
American Medical Association (AMA)
Khan, Asif R.& Saadi, Sumayyah. Generalized Jensen-Mercer Inequality for Functions with Nondecreasing Increments. Abstract and Applied Analysis. 2016. Vol. 2016, no. 2016, pp.1-12.
https://search.emarefa.net/detail/BIM-1094750
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1094750