Journal of Siberian Federal University. Mathematics & Physics / The Discrete Analog of the Newton-Leibniz Formula in the Problem of Summation over Simplex Lattice Points

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (4)
Authors
Leinartas, Evgeniy K.; Shishkina, Olga A.
Contact information
Leinartas, Evgeniy K.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; Shishkina, Olga A.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
summation of functions; discrete primitive function; discrete analog of the Newton-Leibniz formula
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

Pages
503–508
DOI
10.17516/1997-1397-2019-12-4-503-508
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/111815