Multidimensional Ostrowski inequalities, revisited

Abstract

New very general multidimensional Ostrowski type inequalities are established, some of them prove to be sharp. They involve the ||·||∞ and ||·||p norms of the engaged mixed partial of nth order n ≧ 1. In establishing them, other important multivariate results of Montgomery type identity are developed and presented for the first time.

Publication Title

Acta Mathematica Hungarica

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