????-Exponential Convexity of Refinements of Hermite-Hadamards Inequality
m-Exponential Convexity of Refinements of Hermite-Hadamards Inequality
Keywords:
Convex function, Hermite Hadamard inequality, log-convexity, m-exponential convexity, 2010 Mathematics Subject Classification, Primary 26A24; 26A48; 26A51; 26D15Abstract
This paper narrates ????-exponential convexity and log-convexity. For this investigation positive functionals are applied which associate with the refinement of Hermite Hadamard inequality (cited from [1]). With the results that are obtained, some families of functions related to them are presented. To construct means with Stolarsky property, Lagrange and Cauchy type mean value theorems are also given.
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