Papers

Bor² has proved a theorem on summability factors of an infinite series. Özarslan and Ögdük⁴ have generalized the theorem due to Bor² by discussing |A, p_n|_k summability factors of the infinite series. Here, in the present paper, we have studied |A,p_n, d|_k summability factors of Fourier Hermite series which is an extension of the above results into another direction.
 

In this paper, we have considered an almost unified para-norden contact metric manifold. The Eigen values of the tensor of the type (1, 1) occurring in this manifold have been obtained. Also other theorems have been derived which are of great geometrical importance.
 

In this paper, the boundary value problems of Mathematical physics are considered and associated with operator polynomials to study the spectral results of boundary value problems in a Hilbert space setting.
 

The two-dimensional steady boundary layer flow through a convergent channel of a non-Newtonian electrically conducting fluid in presence of a transverse magnetic field has been studied. Similarity solutions are obtained by considering a special form of magnetic field. Expressions for velocity and approximate skin friction at the wall have been obtained and numerically worked out for different values of the flow parameters involved in the solution. The non-Newtonian effects on the velocity and the approximate skin friction have been shown graphically with the combination of other flow parameters.
 

In this paper, we discuss a renewal process using intuitionistic fuzzy random inter arrival times. Realistically the inter arrival times are perceived as non negative intuitionistic fuzzy random variables. With this new theoretical setting the rate of the intuitionistic fuzzy random renewal process is discussed. We have established elementary renewal theorem, and Blackwell's theorem for intuitionistic fuzzy random variables.

A solution of axisymmetric Boussinesq-type problem is derived for transient thermal stresses in a half-space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions. Several simple shapes of punches of arbitrary profile are considered and an expression for the total load is derived to achieve penetration. The numerical results for the temperature and the total load on the punch are shown graphically.
 

The expression for the power of the - chart are derived under measurement error. The power of a control chart under measurement error is examined for the case where both the process average and true variance can change. True and error measurements are additive in nature.
 

In this paper, a simulator for the Pentium microprocessor (PENTISIM) was developed. The PENTISIM extended some of the features of existing microprocessor simulators such as number of registers and instructions implemented. This tool is strongly recommended for students and researchers learning to know more about microprocessors and assembly language programming.
 

Let G= (X,Y,E,) be a bipartite graph. A subset D of X is an X-dominating set if every x € X-D is X-adjacent to at least one vertex  u€ D The cardinality of a minimum X-dominating set is called the X-domination number and is denoted by Y_x (G) . A minimum cardinality subset  S X which dominates all vertices in Y, such a set is called Y-dominating set. The Y-domination number is denoted by Y_y (G) We characterize graphs for which Y_y (G) = Y_y (G) , Y_y (G) = Y_y (G) , Y_hr (G) = I and also prove Y_y (G) ≤ Yx (G) 

A simple graph G is a graceful graph if there exists a graceful labeling of the vertices of G. A graph G with e edges has a graceful labeling if there exists an injective function l : V (G) ® {0, 1, …, e} such that |l (x) - l (y)| is distinct and nonzero for all xy Î E (G). If we cannot gracefully label the vertices of G, then G is a non-graceful graph. Graceful labeling is one of the best known labeling methods of graphs. In this work, We will try to give some of the Applications of graceful labeling in balanced graphs.