The convergence theorem for fourth-order super-Halley method in weaker conditions
Journal of Inequalities and Applications, 2016 In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
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Some approximation properties of new Kantorovich type q-analogue of Balázs–Szabados operators
Journal of Inequalities and Applications, 2020 In this paper, we define a new Kantorovich type q-analogue of the Balázs–Szabados operators, we give some local approximation properties of these operators and prove a Voronovskaja type theorem.
Hayatem Hamal, Pembe Sabancigil
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Approximation results for a general class of Kantorovich type operators [PDF]
, 2014 We introduce and study a family of integral operators in the Kantorovich sense for functions acting on locally compact topological groups. We obtain convergence results for the above operators with respect to the pointwise and uniform convergence and in ...
Vinti, Gianluca, Zampogni, Luca
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Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves [PDF]
, 2015 We discuss a new notion of distance on the space of finite and nonnegative measures which can be seen as a generalization of the well-known Kantorovich-Wasserstein distance.
Liero, Matthias +2 more
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A Kantorovich-Stancu Type Generalization of Szasz Operators including Brenke Type Polynomials
Journal of Function Spaces and Applications, 2013 We introduce a Kantorovich-Stancu type modification of a generalization of Szasz operators defined by means of the Brenke type polynomials and obtain approximation properties of these operators.
Rabia Aktaş +2 more
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Stochastic order on metric spaces and the ordered Kantorovich monad
, 2020 In earlier work, we had introduced the Kantorovich probability monad on complete metric spaces, extending a construction due to van Breugel. Here we extend the Kantorovich monad further to a certain class of ordered metric spaces, by endowing the spaces ...
Fritz, Tobias, Perrone, Paolo
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Convergence properties of generalized Lupaş-Kantorovich operators
Karpatsʹkì Matematičnì Publìkacìï, 2021 In the present paper, we consider the Kantorovich modification of generalized Lupaş operators, whose construction depends on a continuously differentiable, increasing and unbounded function $\rho$.
M. Qasim +3 more
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A quantitative theory for the continuity equation [PDF]
, 2017 In this work, we provide stability estimates for the continuity equation with Sobolev vector fields. The results are inferred from contraction estimates for certain logarithmic Kantorovich--Rubinstein distances.
Seis, Christian
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Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure [PDF]
, 2013 Using techniques of optimal transportation and gradient flows in metric spaces, we extend the notion of Riemannian Curvature Dimension condition $RCD(K,\infty)$ introduced (in case the reference measure is finite) by Giuseppe Savare', the first and the ...
Ambrosio, Luigi +3 more
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Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry [PDF]
, 2016 A Poisson or a binomial process on an abstract state space and a symmetric function $f$ acting on $k$-tuples of its points are considered. They induce a point process on the target space of $f$.
Decreusefond, Laurent +2 more
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