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Determination of bounds
similar to the Lebesgue constants
H. P. Dikshit and Anil Kumar |
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Vol. 97 (1981), No. 2, 339–347
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Abstract |
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Bounds for the Nörlund transformation of a sequence associated with Fourier series are determined. These are applied to obtain a necessary and sufficient condition for the convergence of the Nörlund transformation of Fourier series when the generating function satisfies a condition lighter than the continuity requirement. |
Mathematical Subject Classification 2000
Primary: 42A24
Secondary: 40G05
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Milestones
Received: 14 March 1980
Revised: 12 June 1980
Published: 1 December 1981
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Authors |
| H. P. Dikshit | |
| Anil Kumar | |
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