n-EXPONENTIAL CONVEXITY FOR LEVINSON TYPE INEQUALITIES AND RELATED STOLARSKY TYPE MEANS

Authors

DOI:

https://doi.org/10.37560/matbil13100025v

Keywords:

Levison inequality, n-convex function, n-exponentially convexity, means

Abstract

Starting from the result given in [8] where the author gave the generalized Hadamard inequality, we give the generalizations of Levinson’s inequality (see [9]) and related inequalities. Also, we investigate the exponential convexity of differences of the left-hand and right-hand side of these inequalities. Using these differences, we produce new exponentially convex functions. They are used in studying Stolarsky type means.

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Published

2013-01-01

Issue

Vol. 37 No. 1 (2013): 37 (LXIII) 1 (2013)

Section

Articles

License

Copyright (c) 2013 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
A. Vukelić, “n-EXPONENTIAL CONVEXITY FOR LEVINSON TYPE INEQUALITIES AND RELATED STOLARSKY TYPE MEANS”, Mat. Bilt., vol. 37, no. 1, pp. 25–38, Jan. 2013, doi: 10.37560/matbil13100025v.