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Bernoulli-Taylor formula in the case of Q-umbral Calculus

2007/10/31 by Ewa Krot-Sieniawska, Krot-Sieniawska, Ewa
Mathematics · #17B01 #17B35 #33C45 #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:17B01 #msc:17B35 #msc:33C45

paper · pdf · doi:10.48550/arxiv.0710.5806

6 pages, presented at The 8th Conference on Geometry and Topology of Manifolds, Przemysl-Lviv, 30.04.07 - 6.05.2007

arxiv created 2007/10/31 · arxiv updated 2009/12/01

Abstract

In this note we derive the Q-difference Bernoulli-Taylor formula with the rest term of the Cauchy form by the Viskov's method. This is an extension of technique by the use of Q-extented Kwasniewski's *-product . The main theorems of Q-umbral calculus were given by G. Markowsky in 1968 and extented by A.K.Kwasniewski.

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