In this paper we will demonstrate a Voronovskajatype theorems and approximation theorems for GBS operators associated to some linear positive operators. Through particular cases, we obtain statements verified by the GBS operators of Bernstein, Schurer, Durrmeyer, Kantorovich, Stancu, BleimannButzer-Hahn, Mirakjan-Favard-Szász, Baskakov, Meyer-König and Zeller, Ismail-May.

The present paper deals with the approximation of Bézier variants of Baskakov-Kantorovich operators V ∗ n,α in the case 0 < α < 1. Pointwise approximation properties of the operators V ∗ n,α are studied. A convergence theorem of this type approximation for locally bounded functions is established. This convergence theorem subsumes the approximation of functions of bounded variation as a special...

Continuum parallel robots ( CPRs ) comprise several flexible beams connected in to an end-effector. They combine the inherent compliance of continuum with high payload capacity robots. Workspace characterization is a crucial point performance evaluation . In this paper, we propose methodology f...

Özarslan gave the approximation properties of linear positive operators including the q-Laguerre polynomials in [13]. In this paper, we will give Kantorovich type generalization for this operator with the help of Riemann type q-integral. We also get approximation properties for the generalized operator with modulus.

In this paper, we study the convergence of a family of iteration methods to solve nonlinear equations in the complex plane. Two analysis of convergence are provided. We give a Kantorovich-type convergence theorem under mild differentiability conditions with error analysis.

The purpose of this paper is to approximate the solution of a Cauchy integral equation of the second kind, using projection, finite rank approximations and a regularization procedure. We us the Kantorovich projection, the Sloan projection, the Galerkin projection, respectively. We give a general framework and we prove the existence of the solution for a projection schemes. 2012 Elsevier Inc. Al...

We establish a representation of the core of convex measure games by means of rearrangement ideas and the notion of Kantorovich potentials. Our representation was first proved by Marinacci and Montrucchio [7] when the underlying measurable structure is that of a standard Borel space. The approach presented here is completely different and does not require this assumption.

We consider the theory and applications of the Kantorovich metric in fractal image compression. After surveying the most important approaches for its computation, we highlight its usefulness as a mathematical tool for comparing two images and improve its performance by means of more appropriate data structures.

In this study, the elastic bending of sector graphene sheet has been studied based on elasticity using Eringen Nonlocal Elasticity Theory. In order to do this, the balance equations governing the sector graphene sheet have been solved in terms of displacements with regard to nonlocal relationship of stress, shear theory of the first order, and obtained linear strains using developed Kantorovich...

Following the collapse of hither too existing socialism in Eastern Europe and Central Asia. There was a crisis in socialist economic thought. If we contrast the situation of the 1990s with what had existed 40 years earlier, we see that whilst in the 1950s, socialism and economic planning were almost universally accepted, even by enemies of socialism, as being viable ways to organize an economy,...