The nabla difference model of the operational calculus

Demonstratio mathematica

article

Hubert Wysocki¹ 

[1] Chair of Mathematics and Physics, Polish Naval Academy

关键词: calculus;    derivative;    integral;    limit condition;    backward difference;    Taylor’s formula;   

DOI  :  10.1515/dema-2013-0461

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In the paper, there has been constructed the ∇-model of the Bittner operational calculus for the backward difference ∇ u ( k ) = u ( k ) − u ( k − 1) in the space of two-sided sequences. A form of the Taylor’s formula has been derived. Applying the operation ∇ b u ( k ) = u ( k ) − b ( k ) u ( k − 1), the ∇-model has been generalized.

【 授权许可】

CC BY