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

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.

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