In 1977, Jacob defines Gα, for any 0 ≤ α <∞, as the set of all complex sequences x such that limsup|xk|1/k ≤ α. In this paper, we apply Gu −Gv matrix transformation on the sequences of operators given in the famous Walsh’s equiconvergence theorem, where we have that the difference of two sequences of operators converges to zero in a disk. We show that the Gu −Gv matrix transformation of the dif...

In this paper we study the action of a generalization of the Binomial interpolated operator on the set of linear recurrent sequences. We find how the zeros of characteristic polynomials are changed and we prove that a subset of these operators form a group, with respect to a well–defined composition law. Furthermore, we study a vast class of linear recurrent sequences fixed by these operators a...

We introduce a family of temporal logics to specify the behavior of systems with Zeno behaviors. We extend linear-time temporal logic LTL to authorize models admitting Zeno sequences of actions and quantitative temporal operators indexed by ordinals replace the standard next-time and until future-time operators. Our aim is to control such systems by designing controllers that safely work on ω-s...

High quality video sequences are required for the evaluation of tone mapping operators and high dynamic range (HDR) displays. We provide scenic and documentary scenes with a dynamic range of up to 18 stops. The scenes are staged using professional film lighting, make-up and set design to enable the evaluation of image and material appearance. To address challenges for HDR-displays and temporal ...

In this article we review first some of the possibilities in which the notions of Følner sequences and quasidiagonality have been applied to spectral approximation problems. We construct then a canonical Følner sequence for the crossed product of a concrete C∗-algebra and a discrete amenable group. We apply our results to the rotation algebra (which contains interesting operators like almost Ma...

We give sufficient conditions for the universality of tensor products fTnf #Rn : nANg of sequences of operators defined on Fréchet spaces. In particular we study when the tensor product Tf #R of two operators is chaotic in the sense of Devaney. Applications are given for natural operators on function spaces of several variables, in Infinite Holomorphy, and for multiplication operators on the al...

In the present article, we construct Szász-Jakimovski-Leviatan operators in parametric form by including sequences of continuous functions and then investigate approximation properties. We have successfully estimated convergence use modulus continuity spaces Lipschitz functions, Peetres $ K $-functional weighted functions.