Results 41 to 50 of about 1,363 (195)

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

New Banach Sequence Spaces Defined by Jordan Totient Function

Communications in Advanced Mathematical Sciences, 2023
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
doaj   +1 more source

A ninny, an idiot and an economic theorist

Economica, EarlyView.
Abstract Anton Chekhov's story ‘The ninny’ meets the question: ‘What is the meaning of economic theory?’
Ariel Rubinstein
wiley   +1 more source

Approximating Common Fixed Points of Bregman Weakly Relatively Nonexpansive Mappings in Banach Spaces

Journal of Function Spaces, 2014
Using Bregman functions, we introduce a new hybrid iterative scheme for finding common fixed points of an infinite family of Bregman weakly relatively nonexpansive mappings in Banach spaces. We prove a strong convergence theorem for the sequence produced
Chin-Tzong Pang, Eskandar Naraghirad
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

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Journal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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

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

The Optimal Mean–Variance Selling Problem With Finite Horizon

Mathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson, Jesper Lund Pedersen, Goran Peskir   +2 more
wiley   +1 more source

Symmetric polynomials on Banach spaces

Karpatsʹkì Matematičnì Publìkacìï, 2009
A survey of general results about symmetric polynomials on Banach spaces and rearrangement-invariant function spaces and some new results in this area are given. Some applications to Banach algebras are represented.
I. V. Chernega
doaj