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    STUDIA MATHEMATICA - Issue no. 2 / 2014  
  Article:   SEMI-φh AND STRONGLY log-φ CONVEXITY.

Authors:  .
  Abstract:   In this note, semi-φh-convexity as a generalization of h-convexity and semi φ-convexity, and strongly log-φ convex functions have been introduced and studied. Some properties of semi-φh-convex functions are proved. Also, some new results of Hemite-Hadamard type inequalities for semi-φh-convex functions, semi log- φ and strongly log-φ convex functions are obtained.

Mathematics Subject Classification (2010): 26A51, 26A15.

Keywords: convex functions, semi-φ-convex functions, Hermite-Hadamard inequalities, semi quasi-φ-convex functions.
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