Results 1 to 10 of about 82 (71)

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, Ilaria Mantellini, Jürgen Appell   +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
wiley   +1 more source

Obstacles to bounded recovery

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

On approximation of copulas

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

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

On Approximation by Kantorovich Exponential Sampling Operators

Numerical Functional Analysis and Optimization, 2021
Sathish Kumar, Shivam Bajpeyi
exaly  

Saturation of Bounded Linear Operators

Tohoku Mathematical Journal, 1978
Toshihiko Nishishiraho
exaly  

The Degree of Convergence of Positive Linear Operators

Tohoku Mathematical Journal, 1977
Toshihiko Nishishiraho
exaly  

A Voronovskaya-Type Theorem for a General Class of Discrete Operators

Rocky Mountain Journal of Mathematics, 2009
Ilaria Mantellini, Carlo Bardaro
exaly  

On Convergence Properties for a Class of Kantorovich Discrete Operators

Numerical Functional Analysis and Optimization, 2012
Ilaria Mantellini, Carlo Bardaro
exaly