ON SOME REFIREMENTS OF FEJER TYPE INEQUALITIES VIA SUPERQUADRATIC FUNCTIONS | Latif | Journal of the Indonesian Mathematical Society 6 395 1 PB
J. Indones. Math. Soc.
Vol. 17, No. 2 (2011), pp. 97–122.
ON SOME REFINEMENTS OF FEJÉR TYPE
INEQUALITIES VIA SUPERQUADRATIC FUNCTIONS
Muhammad Amer Latif
Department of Mathematics, University of Hail, Hail 2440, Saudi Arabia
m amer latif@hotmail.com
Abstract. In this paper some Fejér-type inequalities for superquadratic functions
are established, we also get refinement of some known results when superquadratic
function is positive and hence convex.
Key words: Hermite-Hadamard Inequality, convex function, Wright convex function,
Fejér inequality, superquadratic function.
2000 Mathematics Subject Classification: 26D15.
Received: 15-05-2011, revised: 13-10-2011, accepted: 24-10-2011.
Vol. 17, No. 2 (2011), pp. 97–122.
ON SOME REFINEMENTS OF FEJÉR TYPE
INEQUALITIES VIA SUPERQUADRATIC FUNCTIONS
Muhammad Amer Latif
Department of Mathematics, University of Hail, Hail 2440, Saudi Arabia
m amer latif@hotmail.com
Abstract. In this paper some Fejér-type inequalities for superquadratic functions
are established, we also get refinement of some known results when superquadratic
function is positive and hence convex.
Key words: Hermite-Hadamard Inequality, convex function, Wright convex function,
Fejér inequality, superquadratic function.
2000 Mathematics Subject Classification: 26D15.
Received: 15-05-2011, revised: 13-10-2011, accepted: 24-10-2011.