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The generalised Hadamard inequality, <i>g</i>-convexity and functional Stolarsky means

The generalised Hadamard inequality, <i>g</i>-convexity and functional Stolarsky means

We explore the role of weighted functional Stolarsky means in providing bounds in generalised Hadamard-type inequalities for g -convex functions. Refinements are given for Levinson's inequality and the generalised Hadamard inequality. Applications are made to multivariate weighted functional Stolarsky means.