Moduli of smoothness and \(K\)-functional in \(L_2(\mathbb{R}_q^+)\)-space with power weight (Q2322515)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Moduli of smoothness and \(K\)-functional in \(L_2(\mathbb{R}_q^+)\)-space with power weight |
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Statements
Moduli of smoothness and \(K\)-functional in \(L_2(\mathbb{R}_q^+)\)-space with power weight (English)
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4 September 2019
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The author present a characterization of a modulus of smoothness generated by a \(q\)-Bessel type operator and a \(K\)-functional. The approach is reduced to \(L^2(\mathbb{R}_q^+)\) spaces.
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\(q\)-Bessel operator
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\(q\)-Bessel Fourier transform
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\(q\)-translation operator
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\(K\)-functionals modulus of smoothness
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