Yeter Erdaş, Erdal Unluyol, Seren Salaş

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

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

− 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,

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Journal of New Theory-Cover
  • Yayın Aralığı: 4
  • Başlangıç: 2014
  • Yayıncı: Naim Çağman
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THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE

Yeter Erdaş, Erdal Unluyol, Seren Salaş