Controlling and Synchronizing Combined Effect of Chaos Generated in Generalized Lotka-Volterra Three Species Biological Model using Active Control Design

In this work, we study hybrid projective combination synchronization scheme among identical chaotic generalized Lotka-Volterra three species biological systems using active control design. We consider here generalized Lotka-Volterra system containing two predators and one prey population existing in nature. An active control design is investigated which is essentially based on Lyapunov stability theory. The considered technique derives the global asymptotic stability using hybrid projective combination synchronization technique. In addition, the presented simulation outcomes and graphical results illustrate the validation of our proposed scheme. Prominently, both the analytical and computational results agree excellently. Comparisons versus others strategies exhibiting our proposed technique in generalized Lotka-Volterra system achieved asymptotic stability in a lesser time

On -analogue of two parametric Stancu-Beta operators

Abstract Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem. We also obtain the Voronovskaya-type estimate for these operators. Furthermore, we study the weighted approximation results and pointwise estimates for these operators

On (p; q)-analog of Stancu-Beta operators and their approximation properties

In this paper we introduce the (p, q) -analogue of the Stancu-Beta operators and call them as the (p, q)-Stancu-Beta operators. We study approximation properties of these operators based on the Korovkin’s approximation theorem and also study some direct theorems. Also, we study the Voronovskaja type estimate for these operators.Publisher's Versio

Approximating Properties of Generalized Dunkl Analogue of Szasz Operators

In this paper we present a generalization of Sz´asz operators using the Dunkl generalization of the exponential function. We investigate approximating properties for these operators using the Korovkin approximation theorem and the weighted Korovkin-type theorem.We obtain quantitative estimates by using the modulus of continuity and the rate of convergence for functions belonging to the Lipschitz class. Furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity

On ( p , q ) (p,q)(p,q) -analogue of two parametric Stancu-Beta operators

Abstract Our purpose is to introduce a two-parametric ( p , q ) $(p, q)$ -analogue of the Stancu-Beta operators. We study approximating properties of these operators using the Korovkin approximation theorem and also study a direct theorem. We also obtain the Voronovskaya-type estimate for these operators. Furthermore, we study the weighted approximation results and pointwise estimates for these operators