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

