Results 1 to 10 of about 799,507 (195)
Fractional Grassi–Miller Map Based on the Caputo h-Difference Operator: Linear Methods for Chaos Control and Synchronization [PDF]
Discrete Dynamics in Nature and Society, 2020 Investigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional Grassi–Miller map, along with ...
Ibtissem Talbi +5 more
doaj +2 more sources
Linear Differential-Difference Operators and their Adjoints [PDF]
Proceedings of the American Mathematical Society, 1970 The formal adjoint for a first order matrix differential-difference operator is shown to be a true Hilbert space adjoint, and conditions under which such operators are selfadjoint (in a Hilbert space sense) are derived. Differential-difference operators whose domains are defined by a given initial function cannot be selfadjoint, whereas certain ...
David K. Hughes
openalex +2 more sources
Linear difference operators on periodic functions [PDF]
Proceedings of the American Mathematical Society, 1967 Let p > 0 and B the Banach space of continuous functionsf: R1--RI of period p, with Ifll =max{ If(x)I ; 0 0 for all x, and let t be a real number. Define the bounded linear operator L: B ->B by Lf (x) =f (x+t) -a(x)f(x). We shall obtain results concerning the solutions in B of the equation Lf =g. We say that L is regular if it is one-to-one and onto B,
Otto Plaat
openalex +3 more sources
Linear difference operator with multiple variable parameters and applications to second-order differential equations [PDF]
Boundary Value Problems, 2020 In this article, we first investigate the linear difference operator ( A x ) ( t ) : = x ( t ) − ∑ i = 1 n c i ( t ) x ( t − δ i ( t ) ) $(Ax)(t):=x(t)-\sum_{i=1}^{n}c_{i}(t)x(t- \delta _{i}(t))$ in a continuous periodic function space.
Feifan Li +3 more
doaj +2 more sources
On difference of bivariate linear positive operators
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 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.
Saheed Olaosebikan AREMU, Ali Olgun
openalex +6 more sources
Differences of Positive Linear Operators on Simplices [PDF]
Journal of Function Spaces, 2021 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
openalex +3 more sources
Linear finite difference operators preserving Laguerre-Pólya class [PDF]
Complex Variables and Elliptic Equations, 2016 We completely describe all finite difference operators of the form $$ Δ_{M_1, M_2, h}(f)(z)=M_1(z) f(z+h) + M_2(z) f(z-h) $$ preserving the Laguerre-Pólya class of entire functions. Here $M_1$ and $M_2$ are some complex functions and $h$ is a nonzero complex number.
Olga Katkova +2 more
openalex +4 more sources
The formal classification of linear difference operators
Indagationes Mathematicae (Proceedings), 1983 AbstractA Jordan canonical form for formal difference operators, like the one in [7], is derived in a way inspired by [3], [4]. This yields a classification of meromorphic difference operators in a neighbourhood of infinity, up to formal equivalence.
C. Praagman
openalex +4 more sources
Linear $q$-difference, difference and differential operators preserving some $\mathcal{A}$-entire functions [PDF]
, 2022 to appear in the Proceedings of the American Mathematical ...
Jiaxing Huang, Tuen Wai Ng
openalex +3 more sources
Differences and quotients of positive linear operators [PDF]
General Mathematics, 2020 Abstract We consider the classical Szász-Mirakyan and Szász-Mirakyan-Durrmeyer operators, as well as a Kantorovich modification and a discrete version of it. The images of exponential functions under these operators are determined. We establish estimates involving differences and quotients of these images.
Sever Hodiş
openalex +2 more sources