THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE

Authors : Yeter Erdaş, Erdal Unluyol, Seren Salaş

Pages : 92-100

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Publication Date : 2015-06-01

Article Type : Research

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
Keywords : − The Hermite-Hadamard inequality, m-convex functions, operator m-convex functions, selfadjoint operator, inner product space, Hilbert space