GENERALIZED POTENTIAL INEQUALITY AND EXPONENTIAL CONVEXITY

Authors

DOI:

https://doi.org/10.37560/matbil13200083e​

Keywords:

Potential inequality, n-convex function, exponential convexity

Abstract

In this paper we generalize the potential inequality which was introduced in [6] and extended to the class of naturally defined convex functions in [1]. The generalization is achieved by replacing the 1st order Taylor expansion of a convex function in the proof of the potential inequality with the n-th order Taylor expansion of an \((n+1)\)-convex function.

Furthermore, by using methods developed in [4] and [2] we construct several families of n-exponentially convex functions by making use of linearity of the generalized potential inequality.

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Published

2013-07-01

Issue

Vol. 37 No. 2 (2013): 37 (LXIII) 2 (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]
N. Elezović, J. Pečarić, and M. Praljak, “GENERALIZED POTENTIAL INEQUALITY AND EXPONENTIAL CONVEXITY”, Mat. Bilt., vol. 37, no. 2, pp. 83–100, Jul. 2013, doi: 10.37560/matbil13200083e​.