Local saturation of a positive linear convolution operator

Saturation of Positive Convolution Operators RONALD

On convolution properties for some classes of meromorphic functions associated with linear operator

In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.

Subordination and Superordination Properties for Convolution Operator

In present paper a certain convolution operator of analytic functions is defined. Moreover, subordination and superordination- preserving properties for a class of analytic operators defined on the space of normalized analytic functions in the open unit disk is obtained. We also apply this to obtain sandwich results and generalizations of some known results.

Irreducible Positive Linear Maps on Operator Algebras

Motivated by the classical results of G. Frobenius and O. Perron on the spectral theory of square matrices with nonnegative real entries, D. Evans and R. Høegh-Krohn have studied the spectra of positive linear maps on general (noncommutative) matrix algebras. The notion of irreducibility for positive maps is required for the Frobenius theory of positive maps. In the present article, irreducible...

A Voronovskaya-type theorem for a positive linear operator

in order to obtain information about the rate of convergence and the saturation properties of the sequence (Ln). The above formula is called Voronovskaya’s formula for the sequence (Ln)n≥1. This paper is devoted to establishing a Voronovskaya-type formula for the sequence of positive linear operators introduced in [1], which approximate continuous functions of exponential order. To obtain the o...