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math.CA2016
Strong boundedness, strong convergence and generalized variation
Muharem Avdispahić, Zenan Šabanac
A trigonometric series strongly bounded at two points and with coefficients forming a log-quasidecreasing sequence is necessarily the Fourier series of a function belonging to all…
math.CA2016
Determination of a jump by Fourier and Fourier-Chebyshev series
Muharem Avdispahić, Zenan Šabanac
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, H…