Paper Title:

Relation Between The Set Of Non-decreasing Functions And The Set Of Convex Functions

Author(s):

Qefsere Doko Gjonbalaj and Luigj Gjoka

Department of Mathematics, Faculty of Electrical and Computer Engineering,
University of Prishtina "Hasan Prishtina",
Prishtine 10000,
Kosova

E-mail: qefsere.gjonbalaj@uni-pr.edu
 

Department of Engineering Mathematics,
Polytechnic University of Tirana, Tirana,
Albania.

E-mail: luigjgjoka@ymail.com

Abstract:

In this article we address the problem of integral presentation of a convex function. Let I be an interval in R. Here, using the Riemann or Lebesgue’s integration theory, we find the necessary and sufficient condition for a function f: I→ R to be convex in I.

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