TY - JOUR TT - THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE AU - Erdaş, Yeter AU - Unluyol, Erdal AU - Salaş, Seren PY - 2015 DA - June JF - Journal of New Theory JO - JNT PB - Naim ÇAĞMAN WT - DergiPark SN - 2149-1402 SP - 92 EP - 100 IS - 5 KW - − The Hermite-Hadamard inequality KW - m-convex functions KW - operator m-convex functions KW - selfadjoint operator KW - inner product space KW - Hilbert space N2 - − 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 UR - https://dergipark.org.tr/en/pub/jnt/issue//381160 L1 - https://dergipark.org.tr/en/download/article-file/407453 ER -