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Approximation by trigonometric polynomials in weighted Orlicz spaces

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Israfilov D., Guven A.

Studia Mathematica

2006

tom 174

nr 2

147-168

We investigate the approximation properties of the partial sums of the Fourier series and prove some direct and inverse theorems for approximation by polynomials in weighted Orlicz spaces. In particular we obtain a constructive characterization of the generalized Lipschitz classes in these spaces.

Approximation in weighted generalized grand Lebesgue spaces

100%

Israfilov D., Testici A.

Colloquium Mathematicum

2016

tom 143

nr 1

113-126

The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Studia Mathematica

2 Israfilov D.

1 Guven A.

1 Testici A.

1 2016

1 2006

Wyniki wyszukiwania

Approximation by trigonometric polynomials in weighted Orlicz spaces

Approximation in weighted generalized grand Lebesgue spaces