In this study, generalized k-order Fibonacci hybrid quaternion is defined. We give recurrence relation, generating function, the summation formula and some properties for these quaternions. Furthermore, matrix representation quaternions determined. The Q_k defined numbers given By means of another matrices, several identities are also obtained.

1. Introduction. In the last decade, one-dimensional dynamical systems have been studied intensely from different points of view. One of the reasons for this interest is that the results about one-dimensional systems prove to be useful when studying multidimensional systems which act contractively in all but one direction. We shall call such systems near to one-dimensional. In this paper we pre...

We extend the basic elements of Clark’s theory of rank-one perturbations of backward shifts, to row-contractive operators associated to de Branges-Rovnyak type spaces H(b) contractively contained in the Drury-Arveson space on the unit ball in C. The Aleksandrov-Clark measures on the circle are replaced by a family of states on a certain noncommutative operator system, and the backward shift is ...

Hybrid systems with memory refer to dynamical systems exhibiting both hybrid and delay phenomena. While systems of this type are frequently encountered in many physical and engineering systems, particularly in control applications, various issues centered around the robustness of hybrid delay systems have not been adequately dealt with. In this paper, we establish some basic results on a framew...

In this paper, we first obtain a weak mean convergence theorem of Baillon’s type for generalized hybrid mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem of Halpern’s type for generalized hybrid mappings in a Hilbert space.

A new hybrid-model for BCI probe is derived . This model is built based on the probe's internal structure without refinements, and by carrying out just one electrical measurement for the reflection coefficient, so that it can be generalized and used in studying the effect of layout parameters in the aim of improving the probe high frequency performance, which helps the developer in design stage...

We propose a new decoder based on a generalized confidencescore. The generalized confidence score is defined as a product of confidence scores obtained from confidence information sources such as likelihood, likelihood ratio, duration, duration ratio, language model probabilities, supra-segmental information etc. All confidence information sources are converted into confidence scores by a confi...

We examine densely defined (but possibly unbounded) multiplication operators in Hilbert function spaces possessing a complete Nevanlinna–Pick (CNP) kernel. For such operator T, the domains of T and \(T^*\) are reproducing kernel contractively contained ambient space. study several aspects these spaces, especially domain \(T^*\), which can be viewed as analogs classical deBranges–Rovnyak unit di...

Recently, Kawasaki and Takahashi [8] defined a broad class of nonlinear mappings, called widely more generalized hybrid, in a Hilbert space which contains generalized hybrid mappings [9] and strict pseudo-contractive mappings [2]. They proved fixed point theorems for such mappings. In this paper, we prove fixed point theorems for widely more generalized hybrid nonself mappings in a Hilbert spac...