scientific article; zbMATH DE number 5681278
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Publication:5190174
zbMath1182.41020MaRDI QIDQ5190174
Burinska, Z., Hans-Juergen Schmeisser, Konstantin V. Runovski
Publication date: 12 March 2010
Full work available at URL: http://stsip.org/vol08/no2/vol08no2pp105-126.html
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Fourier transformLaplace operatorRiesz derivativeconvolution integralsFejérclassical derivativesBochner-Riesz kernels\(K\)-functionals and their realizationsgeneralized sampling series and their familiesRogosinski
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Approximation by operators (in particular, by integral operators) (41A35)
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Nonperiodic modulus of smoothness corresponding to the Riesz derivative ⋮ Quality of approximation by Fourier means in terms of general moduli of smoothness ⋮ Approximation by families of generalized sampling series, realizations of generalized \(\mathcal{K} \)-functionals and generalized moduli of smoothness ⋮ Some issues of the theory of approximations by entire functions of exponential type and generalized moduli of smoothness ⋮ Direct Jackson-type estimate for the general modulus of smoothness in the nonperiodic case ⋮ Unnamed Item ⋮ Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions ⋮ Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
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