TWMS Journal of Pure and Applied Mathematics, vol.2, no.10, pp.212-224, 2019 (SCI-Expanded)
Article / Article
TWMS Journal of Pure and Applied Mathematics
Science Citation Index Expanded (SCI-EXPANDED)
convex functions, concave functions, Hermite-Hadamard inequality, Power-Mean inequality
Bursa Uludag University Affiliated:
In this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.