Papers

This article presents a matrix identity on the Secondary Schur Complement along with various applications.

Let denote the space of all fuzzy double entire sequence. Let denote the space of all fuzzy double analytic sequence. In this paper we study general properties of the spaces like completeness, linear, etc.

In this paper we present a fixed point theorem in Fuzzy metric space using weak** commuting property for four self mappings satisfying an implicit relation.

The Shortest Path Problem is a classical and important network optimization problem which plays a major role in many applications. It has been proposed to find the Fuzzy Shortest Path using Similarity Degree where Triangular Density Function is used.

In this paper we study the minimum distance properties of circulant codes equipped with the Rosenbloom-Tsfasman metric. The existnace of circulant RT distance codes is estabilished. We also described some intersecting properties of the RT weight of circulant matrices.

In this paper, the unsteady flow of a dusty viscous incom-pressible electrically conducting fluid through a circular pipe is investigated. A constant pressure gradient in the axial direction and a uniform magnetic field directly perpendicular to the flow direction is applied. The effect of dust is described by two parameters f and t, the mass concentration parameter 'f' is a measure of the concentration of dust particles and interaction parameter is a measure of the rate at which the velocity of dust particles adjusts to changes in the fluid velocity and depends upon the size of the individual particles possible limiting cases for t<<1 and t >>1 which corresponds to the case of fine dust and coarse dust respectively. The flow analysis is carried out using differential geometry techniques and analytical solutions of the problem are obtained, with the help of Laplace transform technique. The effect of the magnetic field parameter M, the size of dust particles and the time on velocity, volumetric flow rates and skin friction are determined and discussed with the help of graphs.

In this paper we prove a theorem on the degree of approximation of weighted class function by (N, p_n)(C, 1) means of its Fourier series. Our result generalize the result of Lal and Tripathi⁴.

The flow of a Couple stress fluids, representing blood through an artery with mild stenosis is investigated under various approximations. The Blood flow consisting of a core region of suspension of erythrocytes assumed to be a couple stress fluid (Non-Newtonian) & a peripheral layer of plasma (Newtonian fluid) with dusty particles as micro-organisms. Analytical expressions for both blood and microorganisms have been formulated for blood taking the volume fraction of the microorganisms into account. A detailed study will be made as regards the couple stress parameter, pulsatile Reynolds number, volume fraction of microorganisms and stenosis with other parameters in this investigation. The velocity distribution, the relative apparent viscosity and flux for blood and micro-organisms are calculated as function of couple-stress parameter, pulsatile Reynold's number at different phase angles. The velocity is maximum in the core region. The expressions for velocity of blood and microorganisms, flow rate, apparent viscosity, phase-lag between flow rate and pressure gradient will be derived.

In this paper the feebly induced topology is utilized to obtain new characterizations of connected and separable spaces and to further investigate several functions defined by using semi open sets and feebly open sets.

The Concept of k-unitary matrices introduced. Characterization of k-unitary matrices are discussed.