Abstract. In this note we give a simple proof and a new generalization of the Hermite-Hadamard inequality.Mathematics subject classification (2010): 52A40, 52A41.

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Abstract. In this paper, we investigate the relationship between small functions and differential polynomialsare meromorphic functions which are not all equal to zero with ρ (d j ) < n (j = 0, 1, 2) generated by some second order linear differential equations with meromorphic coefficients.

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