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Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
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Ramazan Akgün
Veröffentlicht/Copyright:
2. Mai 2011
Abstract
This work deals with basic approximation problems such as direct, inverse and simultaneous theorems of trigonometric approximation of functions of weighted Lebesgue spaces with a variable exponent on weights satisfying a variable Muckenhoupt Ap(·) type condition. Several applications of these results help us transfer the approximation results for weighted variable Smirnov spaces of functions defined on sufficiently smooth finite domains of complex plane ℂ.
Keywords.: Fractional derivatives; inverse theorems; Jackson theorems; Lebesgue spaces with a variable exponent; weighted fractional moduli of smoothness
Received: 2009-09-20
Published Online: 2011-05-02
Published in Print: 2011-June
© de Gruyter 2011
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Artikel in diesem Heft
- Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
- On the logarithmic summability of Fourier series
- On a relationship between absolutely nonmeasurable functions and Sierpiński–Zygmund functions
- Boundedness of weighted singular integral operators in grand Lebesgue spaces
- A generalization of the Euler beta function and applications
- Normality and shared values concerning differential polynomial
- Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
- About some geometric characteristics of the generalized Möbius–Listing surfaces
- Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition
- An admissibility for topological degree of variable Besov and Triebel–Lizorkin spaces
- Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures
Schlagwörter für diesen Artikel
Fractional derivatives;
inverse theorems;
Jackson theorems;
Lebesgue spaces with a variable exponent;
weighted fractional moduli of smoothness
Artikel in diesem Heft
- Polynomial approximation of functions in weighted Lebesgue and Smirnov spaces with nonstandard growth
- On the logarithmic summability of Fourier series
- On a relationship between absolutely nonmeasurable functions and Sierpiński–Zygmund functions
- Boundedness of weighted singular integral operators in grand Lebesgue spaces
- A generalization of the Euler beta function and applications
- Normality and shared values concerning differential polynomial
- Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
- About some geometric characteristics of the generalized Möbius–Listing surfaces
- Variation formulas of solution for a delay differential equation taking into account delay perturbation and the continuous initial condition
- An admissibility for topological degree of variable Besov and Triebel–Lizorkin spaces
- Boundedness of linear operators via atoms on Hardy spaces with non-doubling measures
