In this paper, determining the operator norm, we give certain characterizations of matrix transformations from space $ \left\vert \overline N_p^{\phi }\right\vert _{k}$, all series summable by absolute weighted mean summability method, to one classical sequence spaces $c_{0},c,l_{\infty }.$ Also, obtain necessary and sufficient conditions for each in these classes be compact establish a number ...

In this paper we define the weighted Cesaro sequence spaces ces (p, q).We prove the space ces(p, q) is a complete paranorm space. In section-2 we determine its Kothe-Toeplitz dual and continuous dual. In section-3 we establish necessary and sufficient condition for a matrix A to map ces (p, q) to and ces(p, q) to , where is the space of all bounded sequences and is the space of all convergent s...

Given two sequences S1, S2 and a constrained sequence C, the longest common subsequence of S1, S2 with restriction to C is defined as the constrained longest common subsequence (CLCS) of S1, S2 and C. At the same time, the best alignment of S1, S2 with restriction to C is defined as the constrained pairwise sequence alignment (CPSA) of S1, S2 and C. Previous algorithms have shown that both CLCS...

Mirarab et al. (Research Article, 12 December 2014, p. 1250463) introduced statistical binning to improve the signal in phylogenetic methods using the multispecies coalescent model. We show that all forms of binning-naïve, statistical, and weighted statistical-display poor performance and are statistically inconsistent in large regions of parameter space, unlike unbinned sequence data used with...

In this paper, we introduce a class of infinite matrices related to the Beurling algebra of periodic functions, and we show that it is an inverse-closed subalgebra of B(`w), the algebra of all bounded linear operators on the weighted sequence space `w, for any 1 ≤ q <∞ and any discrete Muckenhoupt Aq-weight w. Constructive Approximation, To appear

in this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. meantime, an example is provided toillustrate this theorem. the main result shows that a self-mappingon a g-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. afterwards, some results inco...

recently, mohiuddine and alghamdi introduced the notion of lacunary statistical convergence in a locally solid riesz space and established some results related to this concept. in this paper, some inclusion relations between the sets of statistically convergent and lacunary statistically convergent sequences are established and extensions of a decomposition theorem, a tauberian theorem to the l...

Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...

We describe a general coding strategy leading to a family of universal image compression systems designed to give good performance in applications where the statistics of the source to be compressed are not available at design time or vary over time or space. The basic approach considered uses a two-stage structure in which the single source code of traditional image compression systems is repl...