In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces (Ω), in terms of the double layer potential and the fundamental solution of Laplace's equation are pointed out. Applications for multivariate inequalities of Ostrowski...

Some Grüss type inequalities for two sequences of vectors in terms of the forward difference are given. An application for the Jensen inequality for convex functions defined on inner product spaces is also pointed out

In this paper, some reverses of the Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, some applications for determinantal integral inequalities are also provided

Some sharp inequalities of Grüss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided

Some sharp inequalities of Grüss type for sequences of vectors in real or complex normed linear spaces are obtained. Applications for the discrete Fourier and Mellin transform are given. Estimates for polynomials with coe cients in normed spaces are provided as well