Abstract:
Definition of the discrete primitive function is introduced in the problem of summation over simplex lattice points. The discrete analog of the Newton–Leibniz formula is found.
Keywords:
summation of functions, discrete primitive function, discrete analog of the Newton–Leibniz formula.
The work was supported by RFFI (grant 18-51-41011 Uzb_t) and by RFBR (research project 18-31-00232).
Received: 18.01.2019 Received in revised form: 25.02.2019 Accepted: 20.04.2019
Bibliographic databases:
Document Type:
Article
UDC:517.55+517.962.26
Language: English
Citation:
Evgeniy K. Leinartas, Olga A. Shishkina, “The discrete analog of the Newton–Leibniz formula in the problem of summation over simplex lattice points”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 503–508
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\paper The discrete analog of the Newton--Leibniz formula in the problem of summation over simplex lattice points
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2019
\vol 12
\issue 4
\pages 503--508
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\crossref{https://doi.org/10.17516/1997-1397-2019-12-4-503-508}
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Linking options:
https://www.mathnet.ru/eng/jsfu779
https://www.mathnet.ru/eng/jsfu/v12/i4/p503
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