Papers

In this paper, two new theorems on (C,1)(E,1) product summability of Fourier series and its conjugate series have been established.

A higher order theory of gravitation is considered which is obtained by modifying Einstein field equations. The Lagrange used to modify this in the form a polynomial in (scalar curvature) R. In this equation we have studied spherical symmetric metric.

Bianchi Type V dust filled universe in presence and absence of bulk viscosity in Lyra geometry is investigated. To get the deterministic model of the universe in the presence of bulk viscosity, we have assumed that = N (constant) where æ is the coefficient of bulk viscosity and è is the expansion in the model. The physical and geometrical features of the model are also discussed.

In this paper we apply Fast Fourier transform (FFT) algorithm to analyze the inner structure of Bézier curve and it's rational form. Using the technique mentioned in the paper we get the same curve in the transformed case of polygon points. The technique can be used to transform image from one domian to another without deformation.

In this paper, we consider the compact, connected, orientable Riemannian manifold M of dimension n admitting a projective vector field and obtain the series of integral formulas and inequalities without assuming that the scalar curvature of M is constant . Using these integral formulas,it is obtained that the necessary and sufficient conditions for the projective vector field to be the Killing vector field. Further, if the scalar curvature of M is constant on M , then the integral formulas , inequalities and the Propositions of H. Hiramatu¹ will include as special cases from the main Lemmas and Theorems.

This paper is concerned with special kinds of perfect dominating sets of the graphs P_n and C_n. The perfect dominating set, the split perfect dominating sets of a graph are also considered. Using a recurrence relation we give the number of all perfect dominating sets mentioned for the graphs P_n and C_n.

Complex conformal connection and Bochner curvature tensor are two typical classes among all totally real submanifolds of a Kaehlerian manifold. In this paper, some characterizations of conformally flat totally real submanifold of a Kaehlerian manifold are obtained. It is found that the induced connection on a totally real submanifold of a Kaehlerian manifold with a complex conformal connection is the conformal connection. Also, we have shown that the totally umbilical, totally real submanifold is conformally flat in a totally real submanifold of a Kaehlerian manifold.

In this paper, we define the I-asymptotically quasi-nonexpansive mapping in Hilbert space. If T is an I-asymptotically quasi-nonexpansive mapping, then we prove that , for u Î K as n ® ¥, is weakly almost convergent to its asymptotic center.

In this paper we discuss the steady hydro magnetic three dimensional couette flow of an incompressible viscous flow through a porous medium between two infinite parallel plates under the influence of transverse magnetic field, and taking viscous dissipation into account. The stationary plate is subjected to a slightly sinusoidal surface temperature with transverse sinusoidal suction velocity while moving plate is isothermal with injection velocity. The velocity and the temperature are evaluated by using perturbation technique. The expressions for the components of skin friction at the stationery plate and the insulated plate and the rate of heat transfer are also obtained and its behaviour computationally discussed with reference to the various governing parameters in detail.

In this note we prove nonlinear hybrid contractions on Menger and uniform spaces. We extend and improve results of Mishra, Singh and Talwar,