Results 31 to 40 of about 336 (171)

Asymptotic Properties for a General Class of Szász–Mirakjan–Durrmeyer Operators

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 734-743, 30 January 2026.
ABSTRACT In this paper, we introduce a general family of Szász–Mirakjan–Durrmeyer type operators depending on an integer parameter j∈ℤ$$ j\in \mathbb{Z} $$. They can be viewed as a generalization of the Szász–Mirakjan–Durrmeyer operators, Phillips operators, and corresponding Kantorovich modifications of higher order.
Ulrich Abel, Ana‐Maria Acu, Margareta Heilmann, Ioan Rasa   +3 more
wiley   +1 more source

Semilocal analysis of equations with smooth operators

International Journal of Mathematics and Mathematical Sciences, 1981
Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
doaj   +1 more source

Kantorovich's Theorem on Newton's Method

, 2012
In this work we present a simplifyed proof of Kantorovich's Theorem on Newton's Method. This analysis uses a technique which has already been used for obtaining new extensions of this theorem.
Ferreira, O. P., Svaiter, B. F.
openaire   +2 more sources

Digital Twin‐Driven Two‐Stage Bi‐Level Collaborative Operation Strategy for Multi‐Microgrids Considering Energy Sharing and Price Incentives

Digital Twins and Applications, Volume 3, Issue 1, January/December 2026.
ABSTRACT To enhance the techno‐economic performance and robustness of multi‐microgrids (MMG) systems, this paper proposes a two‐stage bi‐level collaborative optimisation strategy integrating energy sharing and price incentives. In the day‐ahead stage, the shared energy storage operator (SESO) at the upper level employs conditional Wasserstein ...
Xianghu Cui, Qiang Guo, Fei Xu, Xiang Hu, Jianqiang Ouyang   +4 more
wiley   +1 more source

The Kantorovich form of some extensions for the Szász-Mirakjan operators

Journal of Numerical Analysis and Approximation Theory, 2010
Recently, C. Mortici defined a class of linear and positive operators depending on a certain function \(\varphi\). These operators generalize the well known Szász-Mirakjan operators.
Dan Bărbosu, Ovidiu T. Pop, Dan Miclăuş   +2 more
doaj   +2 more sources

Uncertainty‐Aware Coordinated Transmission‐Distribution Dispatch via GNN‐Augmented Distributionally Robust Optimal Power Flow

IET Smart Grid, Volume 9, Issue 1, January/December 2026.
The proposed LA‐DROPF framework integrates graph neural network surrogates with Wasserstein distributionally robust optimisation and CVaR tail‐risk control for coordinated transmission—distribution dispatch under deep renewable uncertainty. A hybrid Benders—ADMM decomposition enables privacy‐preserving multi‐area coordination with formal convergence ...
Aamir Nawaz, Zahid Javid, William Holderbaum   +2 more
wiley   +1 more source

Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

Mathematics, 2022
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
doaj   +1 more source

Approximation theorems for q-Bernstein-Kantorovich operators

Filomat, 2013
In the present paper we introduce a q-analogue of the Bernstein-Kantorovich operators and investigate their approximation properties. We study local and global approximation properties and Voronovskaja type theorem for the q-Bernstein-Kantorovich operators in case 0 < q < 1.
Mahmudov, N. I., Sabancigil, P.
openaire   +2 more sources

Robust Λ$\Lambda$‐Quantiles and Extremal Distributions

Mathematical Finance, Volume 36, Issue 1, Page 3-19, January 2026.
ABSTRACT In this paper, we investigate the robust models for Λ$\Lambda$‐quantiles with partial information regarding the loss distribution, where Λ$\Lambda$‐quantiles extend the classical quantiles by replacing the fixed probability level with a probability/loss function Λ$\Lambda$.
Xia Han, Peng Liu
wiley   +1 more source

A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators

Journal of Numerical Analysis and Approximation Theory, 2011
In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca, Ayçegül Erençin   +1 more
doaj   +2 more sources