Geodesic
Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients
Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 841-854

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Lower and upper bounds for the mixed norms of derivatives and mixed moduli of smoothness of functions having monotone Fourier coefficients are proved.
Keywords: mixed norm of a derivative, mixed modulus of smoothness, Pringsheim convergence, Hardy–Littlewood theorem.
Mots-clés : Fourier coefficient 
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     author = {T. M. Vukolova},
     title = {Estimates of the {Mixed} {Norms} of {Derivatives} and of the {Mixed} {Moduli} of {Smoothness} of {Functions} {Having} {Monotone} {Fourier} {Coefficients}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {841--854},
     publisher = {mathdoc},
     volume = {97},
     number = {6},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a3/}
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T. M. Vukolova. Estimates of the Mixed Norms of Derivatives and of the Mixed Moduli of Smoothness of Functions Having Monotone Fourier Coefficients. Matematičeskie zametki, Tome 97 (2015) no. 6, pp. 841-854. http://geodesic.mathdoc.fr/item/MZM_2015_97_6_a3/