Results 81 to 90 of about 25,291 (257)

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

Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces

Advances in Difference Equations, 2020
In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine, Rabha W. Ibrahim, Ravi P. Agarwal, N. H. Can   +3 more
doaj   +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

Ostrowski-Type Inequalities for Functions of Two Variables in Banach Spaces

Mathematics
In this paper, we offer Ostrowski-type inequalities that extend the findings that have been proven for functions of one variable with values in Banach spaces, conducted in a remarkable study by Dragomir, to functions of two variables containing values in
Muhammad Amer Latif, Ohud Bulayhan Almutairi   +1 more
doaj   +1 more source

Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces

International Journal of Mathematics and Mathematical Sciences, 2015
We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al.
Jong Kyu Kim, Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta   +4 more
doaj   +1 more source

A Remark for the Hyers–Ulam Stabilities on n-Banach Spaces

Axioms, 2020
In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional ...
Jaeyoo Choy, Hahng-Yun Chu, Ahyoung Kim
doaj   +1 more source

On Banach Spaces with Bases

Journal of Functional Analysis, 1996
Let \(X\) be a separable Banach space and let \((U_n)\) be a sequence of linear operators \(U_n: X\to X\). \((U_n)\) factors uniformly \(\ell^{m_n}_p\)'s with respect to \(\lambda\), if there exists a sequence of positive integers \((m_n)\) and sequences of linear operators \((T_n)\), \((S_n)\), with \(T_n:X\to\ell^{m_n}_p\), \(S_n:\ell^{m_n}_p\to X ...
openaire   +1 more source

Reverses of the triangle inequality in Banach spaces

, 2005
Recent reverses for the discrete generalised triangle inequality and its continuous version for vector-valued integrals in Banach spaces are surveyed. New results are also obtained.
Dragomir, Sever S
core  

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley   +1 more source

Stochastic processes on totally disconnected topological groups

International Journal of Mathematics and Mathematical Sciences, 2003
Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
doaj   +1 more source