Results 41 to 50 of about 9,615 (144)

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

A glimpse into the differential topology and geometry of optimal transport

, 2012
This note exposes the differential topology and geometry underlying some of the basic phenomena of optimal transportation. It surveys basic questions concerning Monge maps and Kantorovich measures: existence and regularity of the former, uniqueness of ...
A. Figalli, A. Figalli, A. Figalli, A. Figalli, A. Figalli, A. Figalli, A. Pratelli, A. Pratelli, B. Pass, C. Smith, C. Villani, C. Villani, D. Cordero-Erausquin, F. Otto, F. Otto, F. R. Harvey, G. Alberti, G. G. Lorentz, G. J. Minty, G. Loeper, G. Loeper, G. Loeper, G. Monge, J. A. Mirrlees, J. Kitagawa, J. Li, J. Liu, J. Liu, J. Lott, J. Urbas, J.-C. Rochet, J.-D. Benamou, J.-P. Bourguignon, K. Hestir, K.-T. Sturm, L. A. Ambrosio, L. A. Caffarelli, L. A. Caffarelli, L. A. Caffarelli, L. Ambrosio, L. C. Evans, L. Forzani, L. Kantorovich, L. Rüschendorf, M. Feldman, M. J. P Cullen, M. Spence, M.-K. von Renesse, N. Ahmad, N. Ahmad, N. Gigli, N. S. Trudinger, N. S. Trudinger, P. Delanoë, P. Delanoë, P. Delanoë, P. W. Y. Lee, P. W. Y. Lee, P. W. Y. Lee, P.-A. Chiappori, R. J. McCann, R. J. McCann, R. J. McCann, R. J. McCann, R. J. McCann, R. J. McCann, R. J. McCann, R. M. Dudley, R. T. Rockafellar, Robert J. McCann, S. T. Rachev, T. C. Koopmans, T. Champion, V. L. Levin, W. Gangbo, W. Gangbo, W. Gangbo., W. Schachermayer, X.-J. Wang, X.-J. Wang, X.-N. Ma, Y. Brenier, Y. Brenier, Y. Yu, Y.-H. Kim, Y.-H. Kim, Y.-H. Kim   +86 more
core   +2 more sources

An Interval‐Valued Fermatean Neutrosophic Framework for Sustainable Transportation Under Uncertainty

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Transportation planning is facing heightened complexity because the dynamic parameters influenced by globalization and unpredictable technological disruptions. Traditional models are not capable to handle interval‐based uncertainties related to supply, demand, and costs, especially as the scale of suppliers and customers expands.
Muhammad Kamran, Muhammad Nadeem, Magda Abd El-Rahman, J. Akhter, Ghous Ali   +4 more
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

Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani, Md. Nasiruzzaman, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

The Bézier variant of Kantorovich type λ-Bernstein operators

Journal of Inequalities and Applications, 2018
In this paper, we introduce the Bézier variant of Kantorovich type λ-Bernstein operators with parameter λ∈[−1,1] $\lambda\in[-1,1]$. We establish a global approximation theorem in terms of second order modulus of continuity and a direct approximation ...
Qing-Bo Cai
doaj   +1 more source

A Generalized Equilibrium Transform with Application to Error Bounds in the Rényi Theorem with No Support Constraints

Mathematics, 2020
We introduce a generalized stationary renewal distribution (also called the equilibrium transform) for arbitrary distributions with finite nonzero first moment and study its properties.
Irina Shevtsova, Mikhail Tselishchev
doaj   +1 more source

On Stancu-Type Generalization of Modified p,q-Szász-Mirakjan-Kantorovich Operators

Journal of Function Spaces, 2021
In the present article, we construct p,q-Szász-Mirakjan-Kantorovich-Stancu operators with three parameters λ,α,β. First, the moments and central moments are estimated.
Yong-Mo Hu, Wen-Tao Cheng, Chun-Yan Gui, Wen-Hui Zhang   +3 more
doaj   +1 more source

On the Approximation Process of Shifted‐Knots Bivariate Stancu‐Type Kantorovich Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper focuses on defining bivariate Stancu‐type Kantorovich operators with the technique associated with the idea of shifted knots. The degree of approximation and weighted approximation of these bivariate operators are estimated, respectively, by means of Lipschitz kind bivariate functions and weighted functions of two variables. Furthermore, the
Abdullah Alotaibi, Ding-Xuan Zhou
wiley   +1 more source

A maximal Riesz-Kantorovich theorem with applications to markets with an arbitrary commodity set

Математичні Студії
By analyzing proofs of the classical Riesz-Kantorovich theorem, the Mazón-Segura de León theorem on abstract Uryson operators and the Pliev-Ramdane theorem on C-bounded orthogonally additive operators on Riesz spaces, we find the most general (to our ...
M. M. Popov, O. Z. Ukrainets
doaj   +1 more source