In this article, we consider pair frames in Banach spaces and   introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as   special kinds of (Banach) pair frames.  Some frame-like inequalities  for (Banach)  pair frames are presented. The elements that participant  in the construction of (Ba...

This paper deals with Stancu type generalization of q -analogue of Baskakov-Szasz operators introducing a new sequence of positive q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on [0,∞). An estimate for the rate of convergence and weighted approximation properties are also obtained for these operators. MSC: 41A...

in this paper, we show that in each nite dimensional hilbert space, a frame of subspaces is an ultra bessel sequence of subspaces. we also show that every frame of subspaces in a nite dimensional hilbert space has frameness bound.

sequence with minimized acquisition delays (left). The duration of each gradient is minimized individually. Thus the acquisition delay depends on the k-space position (right). Figure 2: Central slices of a phantom containing 0.9% saline solution measured with the normal 3D-CSI sequence (a), the 3D-TEMin CSI sequence with minimized acquisition delay (b),the 3D-AW-CSI sequence with acquisition we...

In 1948 H. Wold introduced an isometric isomorphism between a Hilbert (linear) space formed from the weighted shifts of a numerical sequence and a suitable Hilbert space of values of a second order stochastic sequence. Recently W.A. Gardner has resurrected the idea in the context of numerical cyclostationary sequences and processes , but without complete details. In this paper we present the de...

PURPOSE To assess the usefulness of fluid-attenuated inversion recovery (FLAIR) and constructive interference in steady state (CISS) sequences in depicting epidermoid tumors. METHODS Six patients with surgically confirmed epidermoid tumors in the subarachnoid space were examined with T1-weighted MR imaging with a spin-echo sequence, and with T2- and proton density-weighted imaging with a fast...

We consider the aff(1)-module structure on the spaces of bilinear differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie superalgebra aff(1) with coefficients in space Dλ,ν;µ of bilinear differential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.