We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A NEW CLASS OF GENERALIZED LANCZOS DERIVATIVES.
- Authors
Teruel, Ginés R. Pérez
- Abstract
In this note we introduce a family of linear operators Dk that contain a sequence of integrals expressions more general in form than the Lanczos Derivative (LD), and show that they all lead to the same limit. The standard LD is a particular case of this family, whose members are labeled by the value of a positive odd integer. The theory is applied to several special cases where the functions are not differentiable in the standard sense, and it is shown that the operators are well-behaved. In addition, we present another couple of operators D∊, D ∊ -also generalizations of LD-, that are gifted with parallel if not better properties. This fact allows us to claim that the structure of the ordinary LD can be extended in a natural manner by a more generic operator L∊, which includes a general analytic odd function g(t) in the integrand. In the last part of the work we discuss a mechanism opposed to the Lanzcos method, namely, integration by differentiation.
- Subjects
LANCZOS method; LINEAR operators; DERIVATIVES (Mathematics)
- Publication
Palestine Journal of Mathematics, 2018, Vol 7, Issue 1, p211
- ISSN
2219-5688
- Publication type
Article