Linear isomorphic spaces of fractional-order difference operators
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine +3 more
doaj +2 more sources
Introducing supersymmetric frieze patterns and linear difference operators [PDF]
We introduce a supersymmetric analog of the classical Coxeter frieze patterns. Our approach is based on the relation with linear difference operators. We define supersymmetric analogs of linear difference operators called Hill's operators.
Morier-Genoud, Sophie +2 more
core +5 more sources
Differences of Positive Linear Operators on Simplices [PDF]
The aim of the paper is twofold: we introduce new positive linear operators acting on continuous functions defined on a simplex and then estimate differences involving them and/or other known operators. The estimates are given in terms of moduli of smoothness and K ...
Ana-Maria Acu +2 more
openaire +2 more sources
Calculation of particular solutions of nonhomogeneous linear equations with two linear operators, of which at least one is almost algebraic, in the case of simple roots of the characteristic equation [PDF]
The concept of an operator is an almost algebraic with respect to two-sided ideal of the algebra of linear operators in some finite-dimensional linear spaces, it extended to the case when the ideal is left.
Vladimir G. Tsirulik
doaj +1 more source
Hermite-Poulain Theorems for Linear Finite Difference Operators [PDF]
We establish analogues of the Hermite-Poulain theorem for linear finite difference operators with constant coefficients defined on sets of polynomials with roots on a straight line, in a strip, or in a half-plane. We also consider the central finite difference operator of the form $$ Δ_{θ, h}(f)(z)=e^{iθ}f(z+ih)-e^{-iθ}f(z-ih), \quadθ\in[0,π),\ \ h\in ...
Katkova, Olga +2 more
openaire +3 more sources
Methods for image noise level estimation
The article presents a method for estimating the level of discrete white noise in an image, based on the use of linear difference operators with a vector mask.
A.I. Novikov, A.V. Pronkin
doaj +1 more source
Asymptotics and Confluence for a Singular Nonlinear q-Difference-Differential Cauchy Problem
We examine a family of nonlinear q−difference-differential Cauchy problems obtained as a coupling of linear Cauchy problems containing dilation q−difference operators, recently investigated by the author, and quasilinear Kowalevski type problems that ...
S. Malek
doaj +1 more source
Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators [PDF]
Purpose – The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator. Design/methodology/approach – Standard methodology for papers in difference and shift operators and value ...
Abhijit Banerjee, Arpita Roy
doaj +1 more source
On regular operators on Banach Lattices
Let E and F be Banach lattices and X and Y be Banach spaces. A linear operator T:E->F is called regular if it is the difference of two positive operators. We show that F has a b-property if and only if Lr(E,F) has b-property.
Omer Gok
doaj +1 more source
On difference of bivariate linear positive operators
In the present paper we give quantitative type theorems for the differences of different bivariate positive linear operators by using weighted modulus of continuity. Similar estimates are obtained via K-functional and for Chebyshev functionals. Moreover, an example involving Szasz and Szasz-Kantorovich operators is given.
AREMU, Saheed Olaosebikan, OLGUN, Ali
openaire +4 more sources

