Multivariate Fink type identity and multivariate Ostrowski, comparison of means and Grüss type inequalities

We develop and establish a general multivariate Fink type identity which is a representation formula for a multivariate function. Using it we derive general tight multivariate high order Ostrowski type, comparison of means and Grüss type inequalities. The estimates involve LpLp norms, for any 1≤p≤∞1≤p≤∞.