Taylor–Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities

Based on the very general Taylor–Widder formula, several representation formulae are developed. By applying these are developed very general inequalities of types: Ostrowski, Grüss, comparison of means, Csiszar ff-divergence. The estimates involve LpLp norms, any 1≤p≤∞1≤p≤∞.