A quantified version of the Dirichlet-Jordan test inL
1-norm |
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| Authors: | F Móricz A H Siddiqi |
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| Institution: | 1. Bolyai Insitute, University of Szeged, Aradi vértanúk tere, 6720, Szeged, UNGARY
2. Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, Uttar Pradesh, INDIA
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| Abstract: | We introduce the notion of bounded variation in the sense ofL 1-norm for periodic functions and prove a version of the classical Dirichlet-Jordan test for the convergence of Fourier series inL 1-norm. We also give an estimate of the rate of convergence. |
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