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Estimates of mixed norms of functions representable by series over products of cosines and sines with multiple-monotone coefficients

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Abstract

Lower and upper bounds for norms of mixed functions being sums of series in products of cosine and sine functions are proved in the paper.

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References

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Authors and Affiliations

  1. Institute of Russian Language and Culture, Moscow State University, Krzhizhanovskogo st. 24/35, bld. 1, Moscow, 117218, Russia

    T. M. Vukolova

Authors
  1. T. M. Vukolova
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Correspondence to T. M. Vukolova.

Additional information

Original Russian Text © T.M. Vukolova, 2014, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2014, Vol. 69, No. 5, pp. 7–17.

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Vukolova, T.M. Estimates of mixed norms of functions representable by series over products of cosines and sines with multiple-monotone coefficients. Moscow Univ. Math. Bull. 69, 182–192 (2014). https://doi.org/10.3103/S0027132214050027

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  • DOI: https://doi.org/10.3103/S0027132214050027

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