Asian Journal of Current Engineering and Maths

By measuring the flux (the reaction), the unknown source (the action) in some differential equation can be identified .For this inverse problem, there are two approaches .The Kaczmarz's method which is the same as SOR method (successive over – relaxation) and the Moore's generalized inverse operator .All of these methods are extended to deal with any Hilbert spaces (not necessarily pivot spaces). Some numerical examples are presented.

The main aim of this paper is to define and study the Humbert matrix polynomials. An explicit representation, differential recurrence relations and a three-term matrix recurrence relation for the Humbert matrix polynomials are given. The hypergeometric matrix representations are established and expansion of the Humbert matrix polynomials as series of Hermite matrix polynomials are obtained.

 

2010 Mathematics Subject Classification:   15A60, 33C05, 42C05, 33C45, 33C50, 33E20.

 

The area of ideals is important in the study of Analysis, algebra, Geometry and Computer science. The various types of ideals have been studied, for example  ideals and  ideals. The  ideals defined on real Banach spaces are referred to as - ideals. The natural examples of - ideals with respect to their biduals, are order continuous Banach lattices. Using the approximation property, we shall study properties of - ideals and their characterization. We define the set of compact operators   on  to be - ideals given that  is a separable reflexive Banach space with approximation property if and only if there is a sequence  of finite rank of operators with     and . We shall show that -ideals containing no copies of sequences  are strict - ideals.

 

Mathematics Subject classification: 47B10; 46B10; 46A25

Building on part of the work of Comellas et al. and extending our results (Starants), we analyze the Six Degree of Separation Theory: We prove that, in considering people, along with their circle of acquaintances, as mathematical objects, there might be, for n people, either a connection so strong as to be mathematically treated as 1 degree of separation or so weak as to be mathematically treated as uncountably many degrees of separation. We also reword the notation, the definitions, and the introduction from Starants.

 

MSC2010: 05C12.

The transportation problems with multiple objectives having more than one restriction are very important from the practical point of view. In this paper, an algorithm is developed to solve Multiple Fractional Time Transportation Problem with Restrictions (MFTPR), which is solved by a lexicographic primal code. The developed algorithm is supported by a real life example of Metal Scrap Trade Corporation Limited.

The aim of this paper is to introduce a new decompositions namely supra ω-locally closed sets and define supra ω-locally continuous functions. This paper also discusses some of their properties.

The notions of pre*- closed, pre*-open sets and pre*-closure, pre*-interior of a subset in topological spaces are introduced in this paper. Their connections with other existing concepts such as pre-closed, semi-closed, α-closed etc. are investigated.

 MSC 2010: 54A05.

In this paper, we have constructed a spline method to obtain error bounds for discrete deficient quartic spline Interpolation matching the given functional values at the mesh points and its difference at mid  points with uniform mesh points.