‎we present an application of the dual gabor frames to image‎ ‎processing‎. ‎our algorithm is based on finding some dual gabor‎ ‎frame generators which reconstructs accurately the elements of the‎ ‎underlying hilbert space‎. ‎the advantages of these duals‎ ‎constructed by a polynomial of gabor frame generators are compared‎ ‎with their canonical dual‎.

In this paper, we investigate a hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac measures. Under assumption that the domain is convex and mesh quasi-uniform, priori error estimate in L 2 -norm proved. By duality argument Oswald interpolation, posteriori estimates errors W 1, p -seminorm are also obtained. Finally, numerical examples provided to validate ...

In this paper, we aim to establish several estimates concerning the generalized Euclidean operator radius of d-tuples A-bounded linear operators acting on a complex Hilbert space H, which leads special case well-known A-numerical for d=1. Here, A is positive H. Some inequalities related A-seminorm are proved. addition, under appropriate conditions, reverse bounds in single and multivariable set...

New inequalities for the A-numerical radius of products and sums operators acting on a semi-Hilbert space, i.e. space generated by positive semidefinite operator A, are established. In particular, every T S which admit A-adjoints, it is proved that ?A(TS) ? 1/2?A(ST) + 1/4 (||T||A||S||A ||TS||A), where ?A(T) ||T||A denote A-operator seminorm an respectively.

In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spaces are usually not determined by the restriction of the metric they define on the state space, to the extreme points of the state space. We characterize the Lipschitz norms which are determined by their metric on the ...

We deal with the existence and localization of positive radial solutions for Dirichlet problems involving ϕ $$ \phi -Laplacian operators in a ball. In particular, p Minkowski-curvature equations are considered. Our approach relies on fixed point index techniques, which work thanks to Harnack-type inequality terms seminorm. As consequence result, it is also derived several (even infinitely many)...

‎in this paper‎, ‎first we develop the duality concept for $g$-bessel sequences‎ ‎and bessel fusion sequences in hilbert spaces‎. ‎we obtain some results about dual‎, ‎pseudo-dual ‎and approximate dual of frames and fusion frames‎. ‎we also expand every $g$-bessel ‎sequence to a frame by summing some elements‎. ‎we define the restricted isometry property for ‎$g$-frames and generalize some resu...

In this paper, we study p-tuples of bounded linear operators on a complex Hilbert space with adjoint defined respect to non-zero positive operator A. Our main objective is investigate the joint A-numerical radius p-tuple.We established several upper bounds for it, some which extend and improve upon previous work second author. Additionally, provide sharp inequalities involving classical A-semin...

in this paper the concept of homothetic dual exponential motions in d3 is discussed and theirvelocities obtained. due to the way in which the matter is presented, the paper gives some formula and factsabout dual exponential motions which are not generally known