On generalized Hermite Hadamard’s inequality
Joint Authors
Anwar, Matlub
Pecaric, Josip
Ruqayah, Ghulam
Source
Jordan Journal of Mathematics and Statistics
Issue
Vol. 6, Issue 3 (30 Sep. 2013), pp.225-249, 25 p.
Publisher
Yarmouk University Deanship of Research and Graduate Studies
Publication Date
2013-09-30
Country of Publication
Jordan
No. of Pages
25
Main Subjects
Abstract EN
The object is to construct the log-convex and the exponential convex functions via functional generalization of Hermite Hadamard’s inequality for some special classes of continuous functions defined on compact interval in R.
Constructed n-exponentially convex functions are used to obtain the generalization of already discovered mean with positive weights p and q, and prove their monotonicity and also introduce several classes of Stolarsky means called Stolarsky type means.
Prove Minkowsky type inequalities for new discovered means as applications of Lyponuve type inequalities of constructed log-convex functions.
American Psychological Association (APA)
Anwar, Matlub& Pecaric, Josip& Ruqayah, Ghulam. 2013. On generalized Hermite Hadamard’s inequality. Jordan Journal of Mathematics and Statistics،Vol. 6, no. 3, pp.225-249.
https://search.emarefa.net/detail/BIM-340275
Modern Language Association (MLA)
Anwar, Matlub…[et al.]. On generalized Hermite Hadamard’s inequality. Jordan Journal of Mathematics and Statistics Vol. 6, no. 3 (Sep. 2013), pp.225-249.
https://search.emarefa.net/detail/BIM-340275
American Medical Association (AMA)
Anwar, Matlub& Pecaric, Josip& Ruqayah, Ghulam. On generalized Hermite Hadamard’s inequality. Jordan Journal of Mathematics and Statistics. 2013. Vol. 6, no. 3, pp.225-249.
https://search.emarefa.net/detail/BIM-340275
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 248-249
Record ID
BIM-340275