Rad HAZU, Matematičke znanosti, Vol. 20 (2016), 37-50.

3-JENSEN-CONVEXITY AT A POINT AND 3-WRIGHT-CONVEXITY AT A POINT AND RELATED RESULTS

Sadia Khalid, Josip Pečarić and Marjan Praljak

Abdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore 54600, Pakistan
and
Faculty of Textile Technology, University of Zagreb, Prilaz baruna Filipovića 28a, 10000 Zagreb, Croatia
e-mail: saadiakhalid176@gmail.com, skhalid@ttf.hr
e-mail: pecaric@element.hr

Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
e-mail: mpraljak@pbf.hr


Abstract.   Two new classes of convex functions at a point are intro- duced and some interesting related results are deduced.

2010 Mathematics Subject Classification.   26A51, 26D15.

Key words and phrases.   Jensen-convexity, Wright-convexity, 3-Jensen-convex function at a point, 3-Wright-convex function at a point, n-Wright convexity.


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References:

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  2. S. Khalid, J. Pečarić and M. Praljak, On an inequality of I. Perić, Math. Commun. 19 (2014), 201-222.
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