Results 21 to 30 of about 223 (38)

Approximation theorems for multivariate Taylor-Abel-Poisson means

, 2019
We obtain direct and inverse approximation theorems of functions of several variables by Taylor-Abel-Poisson means in the integral metrics. We also show that norms of multipliers in the spaces $L_{p,Y}(\mathbb T^d)$ are equivalent for all positive ...
Prestin, Jürgen, Savchuk, Viktor, Shidlich, Andrii   +2 more
core   +1 more source

The Breadth-one $D$-invariant Polynomial Subspace [PDF]

, 2014
We demonstrate the equivalence of two classes of $D$-invariant polynomial subspaces introduced in [8] and [9], i.e., these two classes of subspaces are different representations of the breadth-one $D$-invariant subspace.
Jiang, Xue, Zhang, Shugong
core  

Sampled forms of functional PCA in reproducing kernel Hilbert spaces

, 2012
We consider the sampling problem for functional PCA (fPCA), where the simplest example is the case of taking time samples of the underlying functional components. More generally, we model the sampling operation as a continuous linear map from $\mathcal{H}
Amini, Arash A., Wainwright, Martin J.
core   +1 more source

Characterization Conditions and the Numerical Index

, 2015
In this paper we survey some recent results concerning the numerical index $n(\cdot)$ for large classes of Banach spaces, including vector valued $\ell_p$-spaces and $\ell_p$-sums of Banach spaces where $1\leq p < \infty$.
Aksoy, Asuman Guven, Lewicki, Grzegorz
core   +1 more source

Estimates for Durrmeyer-type exponential sampling series in Mellin-Orlicz spaces

Demonstratio Mathematica
This study examines Durrmeyer-type exponential sampling series to obtain a quantitative estimate by using the concept of the logarithmic modulus of smoothness defined with the help of a suitable modular functional on Mellin-Orlicz spaces.
Kangal Esma, Kantar Ülkü Dinlemez
doaj   +1 more source

On the approximation by convolution operators in homogeneous Banach spaces on R^d [PDF]

, 2014
AMS Subject Classification 2010: 41A25, 41A35, 41A40, 41A63, 41A65, 42A38, 42A85, 42B10, 42B20The paper presents a description of the optimal rate of approximation as well as of a broad class of functions that possess it for convolution operators acting ...
Draganov, Borislav
core  

Equivalence Between K-functionals Based on Continuous Linear Transforms [PDF]

, 2007
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10.The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function.
Draganov, Borislav, Ivanov, Kamen
core  

A new kind of Durrmeyer-Stancu-type operators

Demonstratio Mathematica
The objective of this study is to examine a class of positive linear operators, defined in terms of the bψ,kλ,μ{b}_{\psi ,k}^{\lambda ,\mu } basis and to analyze their approximation properties. Direct estimates for the (λ,μ)\left(\lambda ,\mu )-Durrmeyer-
Cai Qing-Bo, Güngör Şule Yüksel, Çekim Bayram   +2 more
doaj   +1 more source

Approximation of complex q-Beta-Baskakov-Szász-Stancu operators in compact disk

Demonstratio Mathematica
The purpose this study is to present and investigate the qq-Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically ...
Cheregi Larisa, Mursaleen Mohammad
doaj   +1 more source

Approximation of Univariate Set-Valued Functions - an Overview [PDF]

, 2007
2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65.The paper is an updated survey of our work on the approximation of univariate set-valued functions by samples-based linear approximation operators, beyond the results reported in ...
Dyn, Nira, Farkhi, Elza, Mokhov, Alona
core