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Matematicheskie Zametki, 2004, Volume 76, Issue 1, Pages 78–86
DOI: https://doi.org/10.4213/mzm90 (Mi mzm90) 		 
Determination of the Jump of a Function of Generalized Bounded Variation by the Derivatives of a Trigonometric Interpolation Polynomial

A. A. Kelzon

Admiral Makarov State Maritime Academy
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DOI: https://doi.org/10.4213/mzm90
Abstract: We obtain formulas expressing the value of the jump of a bounded periodic function of harmonic bounded variation in a neighborhood of the point under consideration via the derivatives of odd order of the Lagrange trigonometric interpolation polynomial with equidistant nodes and via the derivatives of even order of the conjugate polynomial.
Received: 15.04.2002
English version:
Mathematical Notes, 2004, Volume 76, Issue 1, Pages 73–80
DOI: https://doi.org/10.1023/B:MATN.0000036743.23485.21
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: A. A. Kelzon, “Determination of the Jump of a Function of Generalized Bounded Variation by the Derivatives of a Trigonometric Interpolation Polynomial”, Mat. Zametki, 76:1 (2004), 78–86; Math. Notes, 76:1 (2004), 73–80
Citation in format AMSBIB
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