Results 51 to 60 of about 5,758 (179)

Kantorovich Variant of the Blending Type Bernstein Operators

Bulletin of the Iranian Mathematical Society
AbstractIn this paper, we introduce a novel class of blending-type Bernstein–Kantorovich operators. These operators depend on three parameters: $$\alpha $$ α , $$\gamma $$ γ , and s. We establish results on the uniform convergence and rate of convergence of these operators in terms of ...
Erdem Baytunç, Halil Gezer, Hüseyin Aktuğlu   +2 more
openaire   +2 more sources

On the Bézier variant of generalized Kantorovich type Balazs operators

Applied Mathematics Letters, 2005
The authors introduce a Kantorovich-type operator defined by \[ L^*_n(f;x)=na_n\sum^\infty_{k=0} p_{n,k}(x)\int_{I_{n,k}}f(t)\,dt,\quad x\in [0,\infty), \] where \(a_n\) are suitable chosen positive numbers independent of \(x\), \(I_{n,k}=[k/na_n,(k+1)/na_n]\) and \(p_{n,k}(x)= \frac{\phi^{(k)}_n(0)}{k!}\cdot \frac{(a_nx)^k}{\phi_n(a_nx)}\) with ...
Vijay Gupta 0002, Nurhayat Ispir
openaire   +3 more sources

Equidistribution of points in the harmonic ensemble for the Wasserstein distance

Mathematika, Volume 72, Issue 2, April 2026.
Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
wiley   +1 more source

Interpolation for neural-network operators activated with a generalized logistic-type function

Journal of Inequalities and Applications
This paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan, Abdullah Ozan Aslan, Seda Karateke, İbrahim Büyükyazıcı   +3 more
doaj   +1 more source

Refinements of Kantorovich type, Schwarz and Berezin number inequalities

Extracta Mathematicae, 2020
In this article, we use Kantorovich and Kantorovich type inequalities in order to prove some new Berezin number inequalities. Also, by using a refinement of the classical Schwarz inequality, we prove Berezin number inequalities for powers of f (A), where
M. Garayev, F. Bouzeffour, M. Gürdal , C.M. Yangöz   +3 more
doaj  

The Bézier variant of Kantorovich type λ-Bernstein operators [PDF]

Journal of Inequalities and Applications, 2018
In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter [Formula: see text]. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation theorem by means of the Ditzian-Totik modulus of smoothness.
openaire   +4 more sources

Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators [PDF]

Journal of Inequalities and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Özarslan, Mehmet Ali, Vedi, Tuba
openaire   +3 more sources

Approximation of Discontinuous Functions by Positive Linear Operators. A Probabilistic Approach

Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4184-4197, 30 March 2026.
ABSTRACT We obtain approximation results for general positive linear operators satisfying mild conditions, when acting on discontinuous functions and absolutely continuous functions having discontinuous derivatives. The upper bounds, given in terms of a local first modulus of continuity, are best possible, in the sense that we can construct particular ...
J.A. Adell, P. Garrancho, F.J. Martínez‐Sánchez   +2 more
wiley   +1 more source

A Proposal of Smooth Interpolation to Optimal Transport for Restoring Biased Data for Algorithmic Fairness

Applied Stochastic Models in Business and Industry, Volume 42, Issue 2, March/April 2026.
ABSTRACT The so‐called algorithmic bias is a hot topic in the decision‐making process based on Artificial Intelligence, especially when demographics, such as gender, age or ethnic origin, come into play. Frequently, the problem is not only in the algorithm itself, but also in the biased data that feed the algorithm, which is just the reflection of the ...
Elena M. De‐Diego, Paula Gordaliza, Jesús López‐Fidalgo   +2 more
wiley   +1 more source

Bi‐Level Coordination of Demand Response and Multiple Virtual Power Plants in a Distribution Network for Flexibility Assessment

Energy Science &Engineering, Volume 14, Issue 3, Page 1505-1528, March 2026.
This study presents a hierarchical coordination framework where multiple VPPs interact with the DSO to optimize energy trades and flexibility offers. Each VPP aggregates DERs and DR, performing internal optimization, day‐ahead bidding, and assessing flexibility to reduce excess renewable generation and pollution.
Alireza Zare, Mohammad Agha Shafiyi, Mehrdad Setayesh Nazar, Miadreza Shafie‐khah, Pierluigi Siano   +4 more
wiley   +1 more source