Results 11 to 20 of about 223 (38)
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres [PDF]
, 2015 Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be ...
Barbosa, Victor S., Menegatto, Valdir A.
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A Korovkin theorem in multivariate modular function spaces
Journal of Function Spaces, Volume 7, Issue 2, Page 105-120, 2009., 2009 In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
Carlo Bardaro +2 more
wiley +1 more source
Mean convergence of Grünwald interpolation operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2083-2095, 2003., 2003 We investigate weighted Lp mean convergence of Grünwald interpolation operators based on the zeros of orthogonal polynomials with respect to a general weight and generalized Jacobi weights. We give necessary and sufficient conditions for such convergence for all continuous functions.
Zhixiong Chen
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Abstract and Applied Analysis, Volume 6, Issue 7, Page 381-400, 2001., 2001 Let X be a Banach space, V ⊂ X is its subspace and U ⊂ X*. Given x ∈ X, we are looking for v ∈ V such that u (v) = u (x) for all u ∈ U and ‖v‖ ≤ M‖x‖. In this article, we study the restrictions placed on the constant M as a function of X, V, and U.
Boris Shekhtman
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 259-269, 1999., 1999 New sufficient conditions for strong approximation of copulas, generated by sequences of partitions of unity, are given. Results are applied to the checkerboard and Bernstein approximations.
Tomasz Kulpa
wiley +1 more source
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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On approximation in the Lp‐norm by Hermit interpolation
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 35-39, 1992., 1991 Lp‐approximation by the Hermite interpolation based on the zeros of the Tchebycheff polynomials of the first kind is considered. The corresponding result of Varma and Prasad [1] is generalized and perfected.
Min Guohua
wiley +1 more source
(p,q)-Generalization of Szasz-Mirakyan Operators
, 2015 In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
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Concrete minimal 3 × 3 Hermitian matrices and some general cases
Demonstratio Mathematica, 2017 Given a Hermitian matrix M ∈ M3(ℂ) we describe explicitly the real diagonal matrices DM such that ║M + DM║ ≤ ║M + D║ for all real diagonal matrices D ∈ M3(ℂ), where ║ · ║ denotes the operator norm.
Klobouk Abel H., Varela Alejandro
doaj +1 more source
, 2014 A Vitali-type theorem for vector lattice-valued modulars with respect to filter convergence is proved. Some applications are given to modular convergence theorems for moment operatorsin the vector lattice setting, and also for the Brownian motion and ...
Boccuto, Antonio +2 more
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