Results 51 to 60 of about 827,039 (225)

Korovkin Type Theorem for Sequences of Operators Depending on a Parameter

Demonstratio Mathematica, 2015
We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator.
Finta Zoltán
doaj   +1 more source

Towards the best constant in front of the Ditzian-Totik modulus of smoothness

Journal of Inequalities and Applications, 2016
We give accurate estimates for the constants K ( A ( I ) , n , x ) = sup f ∈ A ( I ) | L n f ( x ) − f ( x ) | ω σ 2 ( f ; 1 / n ) , x ∈ I , n = 1 , 2 , … , $$ K\bigl(\mathcal{A}(I), n, x\bigr)=\sup_{f\in\mathcal{A}(I)}\frac{|L_{n} f(x)-f(x)|}{\omega_ ...
José A Adell, Alberto Lekuona
doaj   +1 more source

Approximation Strategy by Positive Linear Operators [PDF]

Journal of Function Spaces and Applications, 2013
Summary: Two important techniques to achieve the Jackson type estimation by Kantorovich type positive linear operators in \(L^p\) spaces are introduced in the present paper, and three typical applications are given.
openaire   +3 more sources

Multivariate and abstract approximation theory for Banach space valued functions

Demonstratio Mathematica, 2017
Here we study quantitatively the high degree of approximation of sequences of linear operators acting on Banach space valued Fréchet differentiable functions to the unit operator, as well as other basic approximations including those under convexity ...
Anastassiou George A.
doaj   +1 more source

Solutions for a Singular Hadamard-Type Fractional Differential Equation by the Spectral Construct Analysis

Journal of Function Spaces, 2020
In this paper, we consider the existence of positive solutions for a Hadamard-type fractional differential equation with singular nonlinearity. By using the spectral construct analysis for the corresponding linear operator and calculating the fixed point
Xinguang Zhang, Lixin Yu, Jiqiang Jiang, Yonghong Wu, Yujun Cui   +4 more
doaj   +1 more source

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

Demonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
doaj   +1 more source

Positive solutions for a Hadamard-type fractional p-Laplacian integral boundary value problem

Nonlinear Analysis
In this paper we study the existence of positive solutions to a Hadamard-type fractional integral boundary value problem using fixed point index.
Yihui Xu, Feng Wang, Donal O'Regan, Jiafa Xu   +3 more
doaj   +1 more source

Composition and Decomposition of Positive Linear Operators (VIII) [PDF]

, 2023
Ana Maria Acu, Ioan Raşa, Andra Seserman   +2 more
openalex   +1 more source

Common eigenvectors for commutative positive linear operators [PDF]

Proceedings of the American Mathematical Society, 1970
The purpose of this note is to point out an extension of the Markov-Kakutani fixed-point theorem to a result on the existence of a common eigenvector in a cone with a compact base when acted upon by a commutative family of operators. As an application, an extension is given of a result of Kreĭn and Rutman on characteristic functionals.
openaire   +1 more source

On the modified beta approximating operators of first kind

Journal of Numerical Analysis and Approximation Theory, 2004
We define a general linear operator from which we obtain as special case the modified beta first kind operator\[(B_{p,q}f)(x)={B(p,q)}\int_0^1 t^{p-1}(1-t)^{q-1}f\left({B(p,q)}{B(p+a,q)}t^a x\right){\rm d}t.\]We consider here only the cases \(a=1\) and \
Vasile Miheşan
doaj   +2 more sources