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Fourier transformation of quasiconvex functions and functions of the class V *

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Abstract

One Szökefalvi-Nagy theorem is utterly strengthened, and a new relationship between Fourier series and integrals is established.

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Author information

Authors and Affiliations

  1. Donetsk National University, 24, Universitetskaya Str., Donetsk, 83001, Ukraine

    Roald M. Trigub

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  1. Roald M. Trigub
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Correspondence to Roald M. Trigub.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 11, No. 2, pp. 274–286, April–May, 2014.

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Trigub, R.M. Fourier transformation of quasiconvex functions and functions of the class V * . J Math Sci 204, 369–378 (2015). https://doi.org/10.1007/s10958-014-2208-1

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  • DOI: https://doi.org/10.1007/s10958-014-2208-1

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