Geodesic
Quality of Approximation by Fourier Means in Terms of General Moduli of Smoothness
Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 3-11

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The equivalence of the error of approximation by Fourier means and of general moduli of smoothness, provided that their generators are equivalent, is established.
Keywords: Fourier mean, general modulus of smoothness, Bernstein inequality, Jackson-type estimate, planar partition of unity, Fejér mean, Rogozinskii mean, Riesz derivative. 
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     author = {S. Yu. Artamonov},
     title = {Quality of {Approximation} by {Fourier} {Means} in {Terms} of {General} {Moduli} of {Smoothness}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a0/}
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S. Yu. Artamonov. Quality of Approximation by Fourier Means in Terms of General Moduli of Smoothness. Matematičeskie zametki, Tome 98 (2015) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/MZM_2015_98_1_a0/