Weighted Jessen's functionals and exponential convexity
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Authors
Rishi Naeem
- School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.
Matloob Anwar
- School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan.
Abstract
In this paper, we give a refinement of the well known Jessen's
inequality via weight functions. We discuss \(m\)-exponential
convexity of the functions associated with these weighted Jessen's
functionals. Cauchy and Lagrange mean value theorems are also given
that are useful in the construction of means with Stolarsky
property.
Share and Cite
ISRP Style
Rishi Naeem, Matloob Anwar, Weighted Jessen's functionals and exponential convexity, Journal of Mathematics and Computer Science, 19 (2019), no. 3, 171--180
AMA Style
Naeem Rishi, Anwar Matloob, Weighted Jessen's functionals and exponential convexity. J Math Comput SCI-JM. (2019); 19(3):171--180
Chicago/Turabian Style
Naeem, Rishi, Anwar, Matloob. "Weighted Jessen's functionals and exponential convexity." Journal of Mathematics and Computer Science, 19, no. 3 (2019): 171--180
Keywords
- Convex function
- Jessen's inequality
- log-convex functions
- exponentially convex function
- mean value theorems
- Stolarsky means
MSC
References
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