Results 11 to 20 of about 226 (39)
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
wiley +1 more source
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
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
Dunkl analogue of Szász-mirakjan operators of blending type
Open Mathematics, 2018 In the present work, we construct a Dunkl generalization of the modified Szász-Mirakjan operators of integral form defined by Pǎltanea [1]. We study the approximation properties of these operators including weighted Korovkin theorem, the rate of ...
Deshwal Sheetal +2 more
doaj +1 more source
Approximation properties of Kantorovich type q-Balázs-Szabados operators
Demonstratio Mathematica, 2019 In this paper, we introduce a new kind of q-Balázs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators.
Özkan Esma Yıldız
doaj +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
core +1 more source
Approximation Properties of Ibragimov-Gadjiev-Durrmeyer Operators on Lp (ℝ+)
Demonstratio Mathematica, 2017 We deal with the approximation properties of a new class of positive linear Durrmeyer type operators which offer a reconstruction of integral type operators including well known Durrmeyer operators.
Ulusoy Gülsüm, Aral Ali
doaj +1 more source
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