The aim of this paper is to study the convergence of mother wavelet specially shanon's wavelet when bounded variation is impose on it.
This paper deals with Lotka-Volterra predator-prey equations of two species. Moreover, we make assumption that, there exists coexistence within each species separately. The methods which can be used in this context are vector field, linearization and Lyapanov's second. For each equilibrium point, stable and unstable manifolds will be determined.
The Present paper deals with a theorem on Kl (E, 1) Summability of fourier series under general conditions.
The scattering of Love waves due to a surface impedance in the surface of a vertical discontinuous surface layer is studied in the present paper. The solution of the problem is obtained when the width of the vertical disconti-nuity is very small. The reflected, transmitted and scattered waves are obtained by using the method of Fourier transformation and Wiener-Hopf technique. The numerical computations are carried out for the amplitude of the scattered waves versus wave number. There is a sharp fall of the amplitude with slight increase in the wave number.
In this paper we introduced what we are calling a combination of step size of Broyden-Fletcher-Goldfarb-Shanno (CSS-BFGS) to solve unconstrained optimization problem. Analytically, we have proved that the algorithm is superlinearly convergence. The numerical result of CSS-BFGS was shown at the end of this paper. The result shown that in term of iteration number ni and function evaluation nf, our alternative step size is more effective than the original BFGS algorithm.
In this paper it is shown that a binary function on a normed linear space that satisfies a condition which implies approximate associativity, is superstable.