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., 2019, Volume 12, Issue 4,Pages <nobr>503

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The discrete analog of the Newton–Leibniz formula in the problem of summation over simplex lattice points

Evgeniy K. Leinartas, Olga A. Shishkina

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

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.

UDC: 517.55+517.962.26

Received: 18.01.2019
Received in revised form: 25.02.2019
Accepted: 20.04.2019

Language: English

DOI: 10.17516/1997-1397-2019-12-4-503-508