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Spectra of the operator of the first difference in salpha, s)/alpha and lp (alpha) (1

Fares A., Malafosse B.

Demonstratio Mathematica

2008

Vol. 41, nr 3

661-676

In this paper we deal with the spectrum of the operator of the first difference A considered as an operator from E to itself where E is one of the sets [...].We apply these results to characterize matrix transformations mapping in E [...] or N. This paper generalizes some results given in [8] and [3].

On divided difference operators in function algebras

Multarzyński P.

Demonstratio Mathematica

2008

Vol. 41, nr 2

273-289

In this paper we study divided difference operators of any order acting in function algebras. In the definition of difference quotient operators we use a tension structure defined on the set of points on which depend the functions of the algebras considered. In the paper we mention the oportunity for partial difference quotient operators as well as for some purely algebraic definition of divided difference operators in terms of the suitable Leibniz product rules.

New Ostrowski and Gruss type inequalities for double integrals

Pachpatte B.

Demonstratio Mathematica

2006

Vol. 39, nr 4

783-791

In the present paper we establish new Ostrowski and Grüss type inequ- alities for double integrals involving three functions and their partial derivatives. The discrete Ostrowski and Grüss type inequalities for double sums are also given.

Sur l'ordre global des operateurs differentiels lineaires gamma-naturels

Benalili M.

Demonstratio Mathematica

1998

Vol. 31, nr 1

33-42