Abstract
In this paper, we first show a representation formula related to the generalized Greiner operator by an improved method. Then using the representation formula and L ∞ norm of the horizontal gradient, we establish Ostrowski type inequalities in the ball and general bounded domain related to the generalized Greiner operator. Moreover, in the same spirit, we show the Hardy inequalities with boundary terms. Keywords: generalized Greiner operator; representation formula; Ostrowski type inequal- ity; Hardy inequality MR(2010) Subject Classification: 35R45; 26D10; 35J70 / CLC number: O178 Document code: A Article ID: 1000-0917(2015)01-0091-11
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