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.
Full text (PDF) (free access)
References:
- I. A. Baloch, J. Pečarić and M. Praljak, Generalization of Levinson’s inequality,
J. Math. Inequal. 9 (2) (2015), 571-586.
MathSciNet
CrossRef
- S. Khalid, J. Pečarić and M. Praljak, On an inequality of I. Perić,
Math. Commun. 19 (2014), 201-222.
MathSciNet
- Z. Opial, Sur une inégalité, Ann. Polon. Math. 8 (1960), 29-32.
MathSciNet
- J. Pečarić, F. Proschan and Y. L. Tong, Convex Functions, Partial Orderings, and
Statistical Applications, Academic Press, New York, 1992.
MathSciNet
- I. Perić, Converses of Hölder type inequalities, PhD dissertation, University of Zagreb,
1997 (in Croatian).
- G. Szegö, Über eine Verallgemeinergung des Dirichletschen Integrals, Math. Z. 52
(1950), 676-685.
MathSciNet
Rad HAZU Home Page