65 citations · 352 across the 41 of their papers we have counts for
25 papers · 1 filter
Representation of multivariate functions via the potential theory
Florica-Corina Cirstea, Sever Silvestru Dragomir
In this paper, by the use of Potential Theory, some representation results for multivariate functions from the Sobolev spaces in terms of the double layer potential and the fundame…
On the Chebyshev's Inequality for Weighted Means
Sever Silvestru Dragomir
Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.
Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers
Sever Silvestru Dragomir
Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n-tuples of real and complex numbers related to Cassels and Shisha-Mond results are given.
Bounding the Chebychev Functional for a Pair of Sequences in Inner Product Spaces
Sever Silvestru Dragomir
Some new bounds for the Chebychev functional of a pair of vectors in inner product spaces are pointed out. Reverses for the celebrated Jensen's inequality for convex functions defi…
Refinements of Some Reverses of Schwarz's Inequality in 2-Inner Product Spaces and Applications for Integrals
P. Cerone, Y. J. Cho, S. S. Dragomir +1
Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequality in 2-inner product spaces are given. Using this framework, applications for…
New Reverses of Schwarz, Triangle and Bessel Inequalities in Inner Product Spaces
Sever Silvestru Dragomir
New reverses of the Schwarz, triangle and Bessel inequalities in inner product spaces are pointed out. These results complement the recent ones obtained by the author in an earlier…