An approximation theorem for biholomorphic functions on $D\sp{n}$

Titchmarsh theorem for Jacobi Dini-Lipshitz functions

Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lip...

A-statistical Korovkin-type Approximation Theorem for Functions of Two Variables on an Infinite Interval

In this paper, using the concept of A-statistical convergence for double sequences, we provide a Korovkin-type approximation theorem for positive linear operators on the space of all real-valued uniform continuous functions on [0,∞) × [0,∞) with the property that have a finite limit at the infinity. Then, we display an application which shows that our new result is stronger than its classical v...

On Padé Approximation of Some Practical Functions

titchmarsh theorem for jacobi dini-lipshitz functions

our aim in this paper is to prove an analog of younis's theorem on the image under the jacobi transform of a class functions satisfying a generalized dini-lipschitz condition in the space $mathrm{l}_{(alpha,beta)}^{p}(mathbb{r}^{+})$, $(1< pleq 2)$. it is a version of titchmarsh's theorem on the description of the image under the fourier transform of a class of functions satisfying the dini-lip...

On the Converse Theorem of Approximation in Various Metrics for Nonperiodic Functions

A converse theorem of approximation in various metrics for 2π periodic functions of several variables was proved in [5]. We prove the theorem of representation for the derivative of a function, and then the analogous converse theorem for nonperiodic functions defined on the space R. In this way we generalize and improve the results from [4, 6.4]. As usually we say that f(x1, . . . , xn) ∈ Lp(R ...