Some properties of the superior and inferior semi inner product function associated to the 2-norm
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2016, Vol 12, Issue 5
Abstract
Special properties that the scalar product enjoys and its close link with the norm function have raised the interest of researchers from a very long period of time. S.S. Dragomir presents concrete generalizations of the scalar product functions in a normed space and deals with the interesting properties of them. Based on S.S. Dragomirs idea in this paper we treat generalizations of superior and inferior scalar product functions in the case of semi-normed spaces and 2-normed spaces.
Authors and Affiliations
Stela Ceno
Optimal Control of a Fractional Diffusion Equation with Delay
We study a homogeneous Dirichlet boundary fractional diffusion equation with delay in a bounded domain. The fractional time derivative is considered in the left Caputo sense. By means of a linear continuous ope...
Max-fully cancellation modules
Let R be a commutative ring with identity and let M be a unital an R`-module. We introduce the concept of max-fully cancellation R-module , where an R-module M is called max-fully cancellation if for every nonzero maxima...
Inverse Scattering with Non-Over-Determined Data
The results of the author’s theory of the inverse scattering with non-over-determined data are described.
Near approximations via general ordered topological spaces
In this paper, we intdoduce near approximation via general ordered topological approximation spaces which may be viewed as a generalization of the study of near approximation from the topological view. The basic concepts...
Oscillation of third order Impulsive Differential Equations with delay
This paper deals with the oscillation of third order impulsive differential equations with delay. The results of this paper improve and extend some results for the differential equations without impulses. Some examp...