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Approximation Properties of Linear Positive Operators with Differences

Current Journal of Applied Science and Technology, 2022
This paper is the study of approximation properties of differences of linear positive operators. Here we have discussed quantitative estimates for the differences of Baskakov with Baskakov-Szasz and Baskakov-Durrmeyer operators. Difference properties of Baskakov-Szasz and Baskakov-Durrmeyer operators also have given. Finally, we obtain the quantitative
Prerna Sharma
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Hermite-Poulain Theorems for Linear Finite Difference Operators [PDF]

Constructive Approximation, 2020
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 ...
Olga Katkova, Mikhail Tyaglov, Anna Vishnyakova   +2 more
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Introducing supersymmetric frieze patterns and linear difference\n operators [PDF]

Mathematische Zeitschrift, 2015
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. The space of these "superfriezes" is an algebraic supervariety, which is isomorphic to the space of supersymmetric
Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov   +2 more
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Linearization of multivariate discrete difference operators [PDF]

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Yu Gao
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Stability theory and adjoint operators for linear differential-difference equations [PDF]

Transactions of the American Mathematical Society, 1959
Abstract : This paper extends to linear differential-difference equations a number of results familiar in the stability theory of ordinary linear differential equations. In this theory, one considers a system of equations of the form (1) dx/dt = A(t)x, x(0) = c, where t is a real variable, x is a column vector with n rows, and A(t) is an n- by -n ...
Richard Bellman, Kenneth L. Cooke
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On meromorphic equivalence of linear difference operators [PDF]

Annales de l'Institut Fourier, 1990
We consider linear difference equations whose coefficients are meromorphic at ∞. We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
Gertrude K. Immink
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Galerkin finite difference Laplacian operators on isolated unstructured triangular meshes by linear combinations [PDF]

, 1990
The Galerkin weighted residual technique using linear triangular weight functions is employed to develop finite difference formulae in Cartesian coordinates for the Laplacian operator on isolated unstructured triangular grids.
K. J. Baumeister
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WEIGHTED SHARING OF ENTIRE FUNCTIONS CONCERNING LINEAR DIFFERENCE OPERATORS [PDF]

Electronic Journal of Mathematical Analysis and Applications
Summary: In this research article, we investigates the value distribution of linear \(q\)-difference operators \(L_k(f, \Delta_{q,c})\) and \(L_k(g, \Delta_{q,c})\), for a transcendental entire functions of zero order. At the same time we also investigate the uniqueness problems when two linearq-difference operators of entire functions share one value ...
Megha Manakame
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A Note on the Differences of Two Positive Linear Operators

Constructive Mathematical Analysis, 2019
In the present note we find the general estimate in terms of Paltanea's modulus of continuity. In the end, we consider some examples and we apply our result for such examples to obtain the quantitative estimates for the difference of operators.
Gancho Tachev, Vijay Gupta
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Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator

, 2019
In this study, some necessary and sufficient conditions are given for the stability of linear delay difference equations involving generalized difference operator. For the root analysis Schur-Cohn criteria is used and some examples are given to verify the results.
Murat Gevgeşoğlu, Yaşar Bolat
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