Results 21 to 30 of about 63,671 (270)
The Bernstein-Sato b-Function of the Space of Cyclic Pairs [PDF]
We compute the Bernstein-Sato polynomial of $f$, a function which given a pair $(M,v)$ in $X = M_n(\mathbf{C}) \times \mathbf{C}^n$ tests whether $v$ is a cyclic vector for $M$.
Walters, Robin
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Approximation properties of λ-Bernstein operators [PDF]
In this paper, we introduce a new type λ-Bernstein operators with parameter [Formula: see text], we investigate a Korovkin type approximation theorem, establish a local approximation theorem, give a convergence theorem for the Lipschitz continuous functions, we also obtain a Voronovskaja-type asymptotic formula.
Qing-Bo Cai, Bo-Yong Lian, Guorong Zhou
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On bivariate Bernstein-Chlodowsky operators [PDF]
Summary: This work relates to the bivariate Bernstein-Chlodowsky operator which is not a tensor product construction. We show that the operator preserves some properties of the original function, for example, function of modulus of continuity, Lipschitz constant, and a kind of monotony.
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Regularity theory and high order numerical methods for the (1D)-fractional Laplacian [PDF]
This paper presents regularity results and associated high-order numerical methods for one-dimensional Fractional-Laplacian boundary-value problems. On the basis of a factorization of solutions as a product of a certain edge-singular weight $w$ times
Acosta, Gabriel +3 more
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Adell, J.A., de la Cal, J.
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Approximation of positive operators by analytic vectors
We give the estimates of approximation errors while approximating of a positive operator $A$ in a Banach space by analytic vectors. Our main results are formulated in the form of Bernstein and Jackson type inequalities with explicitly calculated ...
M.I. Dmytryshyn
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A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus
Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz, Mehmet Acikgoz
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Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]
In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev +29 more
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Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]
A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F. +14 more
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Approximation by α-Bernstein-Schurer operator
Summary: In this paper, we introduce a new family of generalized Bernstein-Schurer operators and investigate some approximation properties of these operators. We obtain a uniform approximation result using the well-known Korovkin theorem and give the degree of approximation via second modulus of smoothness.
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