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Rates of convergence of Chlodovsky-Kantorovich polynomials in classes of locally integrable functions

Paulina Pych-Taberska — 2009

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper we establish an estimation for the rate of pointwise convergence of the Chlodovsky-Kantorovich polynomials for functions f locally integrable on the interval [0,∞). In particular, corresponding estimation for functions f measurable and locally bounded on [0,∞) is presented, too.

Approximation properties of the partial sums of Fourier series of some almost periodic functions

Paulina Pych-Taberska — 1990

Studia Mathematica

On the rate of pointwise convergence of Szász-Mirakyan operators

Paulina Pych-Taberska — 1989

Banach Center Publications

Properties of some bivariate approximants.

Paulina Pych-Taberska — 1993

Collectanea Mathematica

The smoothness and approximation properties of certain discrete operators for bivariate functions are examined.

On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant

Paulina Pych-Taberska; Harun Karsli — 2009

Commentationes Mathematicae

In the present paper we consider the Bézier variant of Chlodovsky-Kantorovich operators $K_{n - 1, α} f$ for functions $f$ measurable and locally bounded on the interval $[0, \infty)$ . By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of $K_{n - 1, α} f (x)$ at those $x 0$ at which the one-sided limits $f (x +)$ , $f (x -)$ exist.

On the Durrmeyer-type modification of some discrete approximation operators.

Pych-Taberska, Paulina — 1994

Georgian Mathematical Journal

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