Results 101 to 110 of about 5,288,578 (240)

The Szlenk Index and the Fixed Point Property under Renorming

Fixed Point Theory and Applications, 2010
Assume that X is a Banach space such that its Szlenk index Sz(X) is less than or equal to the first infinite ordinal ω. We prove that X can be renormed in such a way that X with the resultant norm satisfies R(X)<2, where R(⋅) is the ...
T. Dom&#237;nguez Benavides
doaj   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond   +2 more
wiley   +1 more source

Richards's curve induced Banach space valued multivariate neural network approximation. [PDF]

Arab J Math, 2023
Anastassiou GA, Karateke S.
europepmc   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

A Dislocated Quasi-Normed Space and Its Completeness for A Fixed Point Theorem

مجلة بغداد للعلوم
A concept of a dislocated quasi-normed space is introduced in this paper which is a spatial case of the concept of a quasi-normed space and related to the notion of a dislocated quasi-metric space.
Jawad Kadhim K. Al-Delfi
doaj   +1 more source

The Banach-Saks Properties in Orlicz-Lorentz Spaces

Abstract and Applied Analysis, 2014
The Banach-Saks index of an Orlicz-Lorentz space Λφ,w(I) for both function and sequence case, is computed with respect to its Matuszewska-Orlicz indices of φ. It is also shown that an Orlicz-Lorentz function space has weak Banach-Saks (resp., Banach-Saks)
Anna Kamińska, Han Ju Lee
doaj   +1 more source

Richards's curve induced Banach space valued ordinary and fractional neural network approximation. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2023
Anastassiou GA, Karateke S.
europepmc   +1 more source

The Natural Components of a Regular Linear System

Oxford Bulletin of Economics and Statistics, EarlyView.
ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley   +1 more source

Some properties of pre-quasi operator ideal of type generalized Cesáro sequence space defined by weighted means

Open Mathematics, 2019
Let E be a generalized Cesáro sequence space defined by weighted means and by using s-numbers of operators from a Banach space X into a Banach space Y.
Bakery Awad A., Mohammed Mustafa M.
doaj   +1 more source

Semilinear functional differential equations in Banach space

, 1978
In this paper we prove existence and study the asymptotic behavior of mild solutions to a class of semi-linear abstract functional differentia1 equations which involve a nonlinear delay term.
W. Fitzgibbon
semanticscholar   +1 more source