Results 31 to 40 of about 937,852 (212)

A quantitative version of Trotter's approximation theorem

, 2007
A quantitative version, based on modified K-functionals, of the classical Trotter's theorem concerning the approximation of C0-semigroups is presented. The result is applied to the study of the degree of convergence of the iterated Bernstein operators on
I. RASA, Elisabetta M. Mangino, Ioan Rasa, MANGINO, Elisabetta Maria   +3 more
core   +1 more source

Approximation for a generalization of Bernstein operators

Journal of Inequalities and Applications, 2016
In this paper, we give a direct approximation theorem, inverse theorem, and equivalent theorem for a generalization of Bernstein operators in the space L p [ 0 , 1 ] $L_{p}[0,1]$ ( 1 ≤ p ≤ ∞ $1\leq p \leq\infty$ ).
Guofen Liu, Xiuzhong Yang
doaj   +1 more source

Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations

Fractal and Fractional, 2022
In this paper, we establish two approximation theorems for the multidimensional fractional Fourier transform via appropriate convolutions. As applications, we study the boundary and initial problems of the Laplace and heat equations with chirp functions.
Yinuo Yang, Qingyan Wu, Seong Tae Jhang, Qianqian Kang   +3 more
doaj   +1 more source

Płoski approximation theorem

Annales Polonici Mathematici
The aim of this paper is to review how some approximation results in commutative algebra are being used to construct equisingular deformations of singularities. The first example of such an approximation result appeared in A. Płoski’s PhD thesis.
Parusiński, Adam, Rond, Guillaume
openaire   +2 more sources

Approximation by One and Two Variables of the Bernstein-Schurer-Type Operators and Associated GBS Operators on Symmetrical Mobile Interval

Journal of Function Spaces, 2021
In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
doaj   +1 more source

Modified Bernstein–Durrmeyer Type Operators

Mathematics, 2022
We constructed a summation–integral type operator based on the latest research in the linear positive operators area. We establish some approximation properties for this new operator.
Arun Kajla, Dan Miclǎuş
doaj   +1 more source

Interpolation of Multiparameter Approximation Spaces

, 2004
We prove a general interpolation theorem for linear operators acting simultaneously in several approximation spaces which are defined by multiparametric approximation families.
Asekritova, Irina,, Brudnyi, Yuri,
core   +1 more source

Moments of Real, Respectively of Complex Valued Functions, Approximation and Applications

Mathematics
The first aim of this study is to point out new aspects of approximation theory applied to a few classes of holomorphic functions via Vitali’s theorem.
Cristian Octav Olteanu
doaj   +1 more source

Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem

Journal of Function Spaces, 2020
We define the notions of weighted λ,μ-statistical convergence of order γ1,γ2 and strongly weighted λ,μ-summability of γ1,γ2 for fuzzy double sequences, where ...
Abdullah Alotaibi
doaj   +1 more source

Mergelyan's approximation theorem with nonvanishing polynomials and universality of zeta-functions

, 2013
We prove a variant of the Mergelyan approximation theorem that allows us to approximate functions that are analytic and nonvanishing in the interior of a compact set K with connected complement, and whose interior is a Jordan domain, with nonvanishing ...
Andersson, Johan,
core   +1 more source