Proceedings of the Jangjeon Mathematical Society, 19 (2016), No. 1. pp. 135-144.

HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WITH A BOUNDED SECOND DERIVATIVE

HUAN-NAN SHI

Abstract: By applying results from the theory of majorization, some new inequalities of Hermite-Hadamard type for functions with a bounded second derivative are established.

Key words and phrases: Hermite-Hadamard type inequality, majorization, second derivative.

2000 Mathematics Subject Classification: Primary 26A51; Secondary 26B25, 26D15

Hermite-Hadamard type inequalities for functions with a bounded second derivative.pdf