In this paper, the ultraspherical operational matrices of derivatives are constructed. Based on these operational matrices, two numerical algorithms are presented and analyzed for obtaining new approximate spectral solutions of a class of linear and nonlinear Lane-Emden type singular initial value problems. The basic idea behind the suggested algorithms is basically built on transforming the eq...

The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics...

the effect of oleic acid (5 and 10% v/v) and xanthan gum (0.5 and 1% wt) on  partitioning and retention of ethyl acetate and diacetyl from two matrices with a different composition was investigated by applying static head space gas chromatography. two matrices with different composition have been developed: one containing carbohydrates (xanthan gum) and in the second one, called complex matrix,...

in this work, we define fuzzy soft ($fs$) matrices and theiroperations which are more functional to make theoretical studies inthe $fs$-set theory. we then define products of $fs$-matrices andstudy their properties. we finally construct a $fs$-$max$-$min$decision making method which can be successfully applied to theproblems that contain uncertainties.

Objective Eudragits are widely used polymers in the production of oral sustained release dosage forms. The application of these polymers in the production of inert insoluble matrices has been investigated. However the effect of particle size, compaction force and presence of Aerosil 200 as a glidant on the properties of Eudragit RS and RL matrices prepared by direct compression of their physic...

In this paper, the concept of k-regular fuzzy matrix as a general- ization of regular matrix is introduced and some basic properties of a k-regular fuzzy matrix are derived. This leads to the characterization of a matrix for which the regularity index and the index are identical. Further the relation between regular, k-regular and regularity of powers of fuzzy matrices are dis- cussed.

A domain representation of a topological space X is a function, usually a quotient map, from a subset of a domain onto X . Several di erent classes of domain representations are introduced and studied. It is investigated when it is possible to build domain representations from existing ones. It is, for example, discussed whether there exists a natural way to build a domain representation of a p...

Let be a compactly suppported positive measure on the real line. A point x 2supp[ ] is said to be -regular, if, as n!1; sup deg(P ) n jP (x)j kPkL2(d ) !1=n ! 1: Otherwise it is a -irregular point. We show that for any such measure, the set of -irregular points in f 0 > 0g (with a suitable de…nition of this set) has Hausdor¤mh measure 0, for h (t) = log 1 t , any > 1. Orthogonal Polynomials on ...

This chapter is dedicated to the de nition of relevant sets of shapes and that of de ning a metric on them. Following a recent research monograph by Delfour and Zolesio [33], we consider the characteristic functions of the subsets of R2 and their distance functions. The L2 norm of the di erence of characteristic functions, the L∞ and the W 1,2 norms of the di erence of distance functions de ne ...