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FURTHER RESULTS ON CONVEX FUNCTIONS AND SEPARABLE SEQUENCES WITH APPLICATIONS
M. ADIL KHAN, M. NIEZGODA, J. PEČARIĆ
Abstract
In this paper, generalizations are given for some recent results of Niezgoda [M. Niezgoda, Remarks on convex functions and separable sequences, Discrete Math. 308 (2008) 1765-1773]. As applications, two mean value theorems are derived. Gram type inequality is proved. Exponential convexity for differences of power means is shown. Monotonicity of Cauchy type means is shown.