New inequalities of Hermite-Hadamard type for n-times differentiable convex and concave functions with applications

M.A. Latif, S.S. Dragomir
2016 Filomat  
In this paper, a new identity for n-times differntiable functions is established and by using the obtained identity, some new inequalities Hermite-Hadamard type are obtained for functions whose nth derivatives in absolute value are convex and concave functions. From our results, several inequalities of Hermite-Hadamard type can be derived in terms of functions whose first and second derivatives in absolute value are convex and concave functions as special cases. Our results may provide
more » ... ay provide refinements of some results already exist in literature. Applications to trapezoidal formula and special means of established results are given.
doi:10.2298/fil1610609l fatcat:oeazjshv6fa3fgdoomdr5ihkqa