Wyniki wyszukiwania

1

On Müntz rational approximation in multivariables

100%

Zhou S. P.

Colloquium Mathematicum

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1995

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tom 68

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nr 1

39-47

EN

The present paper shows that for any $s$ sequences of real numbers, each with infinitely many distinct elements, ${λ_{n}^{j}}$, j=1,...,s, the rational combinations of $x_{1}^{λ_{m_1}^1} x_{2}^{λ_{m_2}^2}...x_{s}^{λ_{m_s}^s}$ are always dense in $C_{I^s}$.

2

A note on lacunary approximation on [-1,1]

100%

Zhou S. P.

Colloquium Mathematicum

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1993

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tom 64

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nr 1

135-140

3

Some Remarks on Rational Müntz Approximation on [0,∞)

100%

Zhou S. P.

Colloquium Mathematicum

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1998

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tom 77

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nr 2

233-243

EN

The following result is proved in the present paper: Let ${λ_{n}}$ be an increasing sequence of distinct real numbers which approaches a finite limit λ as n goes to infinity and for which $$ \limsup_{n\to\infty}(λ-λ_{n})\root{3}οf{n}=\infty. $$ Then the rational combinations of ${x^{λ_{n}}}$ form a dense set in $C_{[0,∞]}$. One could note that the method used in this paper is probably more interesting than the result itself.

4

On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions

100%

Zhou S. P.

Colloquium Mathematicum

|

1998

|

tom 75

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nr 1

1-5

EN

We construct a $C^k$ piecewise differentiable function that is not $C^k$ piecewise analytic and satisfies a Jackson type estimate for approximation by Lagrange interpolating polynomials associated with the extremal points of the Chebyshev polynomials.

5

The divergence phenomena of interpolation type operators in $L^p$ space

64%

Xie T. F., Zhou S. P.

Colloquium Mathematicum

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1992

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tom 63

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nr 2

323-328

Ograniczanie wyników

5 Colloquium Mathematicum

5 Zhou S. P.

1 Xie T. F.

2 1998

1 1995

1 1993

1 1992

On Müntz rational approximation in multivariables

A note on lacunary approximation on [-1,1]

Some Remarks on Rational Müntz Approximation on [0,∞)

On approximation by Lagrange interpolating polynomials for a subset of the space of continuous functions

The divergence phenomena of interpolation type operators in $L^p$ space