@article{article_381160, title={THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE}, journal={Journal of New Theory}, pages={92–100}, year={2015}, author={Erdaş, Yeter and Unluyol, Erdal and Salaş, Seren}, keywords={− The Hermite-Hadamard inequality, m-convex functions, operator m-convex functions,selfadjoint operator, inner product space, Hilbert space}, abstract={− In this paper, we first define operators m-convex functions for positive, bounded, selfadjoint operators in Hilbert space via m-convex functions. Secondly, we establish some new theoremsfor them. Finally, we obtain the Hermite-Hadamard type inequalities for the product two operatorsm-convex functions in Hilbert space}, number={5}, publisher={Naim ÇAĞMAN}