Jessen type functionals and exponential convexity

Volume 17, Issue 3, pp 429-436 http://dx.doi.org/10.22436/jmcs.017.03.08

Publication Date: August 25, 2017 Submission Date: June 16, 2017

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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 introduce the extension of Jessen functional and investigate logarithmic and exponential convexity. We also give mean value theorems of Cauchy and Lagrange type. Several families of functions are also presented related to our main results.

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Keywords

• Jessen functional
• exponential convexity
• mean value theorems.

MSC

•  26A24
•  26A48
•  26A51
•  26D15

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