On generalizations of a theorem of Ferenc Lukács |
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Authors: | Sh Zviadadze |
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Institution: | 1. Institute of Mathematics, IV., Javakhishvili Tbilisi State University, 2, University St., Tbilisi, 0143, Georgia
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Abstract: | A theorem of Ferenc Lukács determines the jumps of a periodic Lebesgue integrable function f at each point of discontinuity of the first kind in terms of the partial sums of the conjugate Fourier series of f. The aim of this note is to prove analogous theorems for functions and series, introduced by Taberski (10], 11]). |
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