Results 11 to 20 of about 17,576 (126)

On the Durrmeyer variant of q-Bernstein operators based on the shape parameter λ

open access: yesJournal of Inequalities and Applications, 2023
In this work, we consider several approximation properties of a Durrmeyer variant of q-Bernstein operators based on Bézier basis with the shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in[ -1,1]$ .
Lian-Ta Su   +3 more
doaj   +1 more source

On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

open access: yesJournal of Function Spaces, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj   +1 more source

$D$-modules, Bernstein-Sato polynomials and $F$-invariants of direct summands [PDF]

open access: yes, 2016
We study the structure of $D$-modules over a ring $R$ which is a direct summand of a polynomial or a power series ring $S$ with coefficients over a field. We relate properties of $D$-modules over $R$ to $D$-modules over $S$. We show that the localization
Huneke, Craig   +2 more
core   +3 more sources

Approximation Properties of Generalized λ-Bernstein–Stancu-Type Operators

open access: yesJournal of Mathematics, 2021
The present study introduces generalized λ-Bernstein–Stancu-type operators with shifted knots. A Korovkin-type approximation theorem is given, and the rate of convergence of these types of operators is obtained for Lipschitz-type functions.
Qing-Bo Cai   +2 more
doaj   +1 more source

Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]

open access: yes, 2012
A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F.   +14 more
core   +4 more sources

On the Approximation Properties of q−Analogue Bivariate λ-Bernstein Type Operators

open access: yesJournal of Function Spaces, 2020
In this article, we establish an extension of the bivariate generalization of the q-Bernstein type operators involving parameter λ and extension of GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein type.
Edmond Aliaga, Behar Baxhaku
doaj   +1 more source

Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]

open access: yes, 2014
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
core   +1 more source

The Bernstein-Sato b-Function of the Space of Cyclic Pairs [PDF]

open access: yes, 2015
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
core   +1 more source

Delayed and rushed motions through time change [PDF]

open access: yes, 2020
We introduce a definition of delayed and rushed processes in terms of lifetimes of base processes and time-changed base processes. Then, we consider time changes given by subordinators and their inverse processes.
Capitanelli, Raffaela, D'Ovidio, Mirko
core   +2 more sources

Convergence of λ-Bernstein operators based on (p, q)-integers

open access: yesJournal of Inequalities and Applications, 2020
In the present paper, we construct a new class of positive linear λ-Bernstein operators based on (p, q)-integers. We obtain a Korovkin type approximation theorem, study the rate of convergence of these operators by using the conception of K-functional ...
Qing-Bo Cai, Wen-Tao Cheng
doaj   +1 more source

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