Literature Cited
A. Kolmogoroff, “Sur l'ordre de grandeur des coefficients de la série de Fourier-Lebesgue,” Bull. Acad. Polon., Ser. A, Sci. Math., 83–86 (1923).
A. Zygmund, Trigonometric Series, Warsaw-L'vov (1939).
S. Aljančić and M. Tomić, “Über den Stetigkeitsmodul von Fourier-Reihen mit monotonen Koeffizienten,” Math. Zeitsch.,88, No. 3, 274–284 (1965).
M. Izumi and S. Izumi, “Modulus of continuity of functions defined by trigonometric series,” J. Math. Analysis and Appl.,24, No. 3, 564–581 (1968).
S. A. Telyakovskii, “Some inequalities for trigonometric series with quasiconvex coefficients,” Matem. Sb.,63, No. 3, 426–444 (1964).
S. Aljančić and M. Tomić, “Sur la borne inférieure du module de continuité de la fonction exprimée par les coefficients de Fourier,” Bull. Acad. Serbe, Sci. Math.,40, No. 6, 39–51 (1967).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No, 5, pp. 1140–1145, September–October, 1970.
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Telyakovskii, S.A. The integral modulus of continuity of functions with quasiconvex fourier coefficients. Sib Math J 11, 847–851 (1970). https://doi.org/10.1007/BF00967844
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DOI: https://doi.org/10.1007/BF00967844