Results 31 to 40 of about 201 (167)

Local convergence of Newton's method using Kantorovich convex majorants

Journal of Numerical Analysis and Approximation Theory, 2010
We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the
Ioannis K. Argyros
doaj   +2 more sources

Conditional estimates on the argument of Dirichlet L$L$‐functions with applications to low‐lying zeros

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Under the generalized Riemann hypothesis, we use Beurling–Selberg extremal functions to bound the mean and mean square of the argument of Dirichlet L$L$‐functions for a large prime modulus q$q$. As applications, we give alternative proofs of several results on low‐lying zeros of L(s,χ)$L(s,\chi)$ and obtain a new lower bound on the proportion ...
Tianyu Zhao
wiley   +1 more source

Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s

Журнал Белорусского государственного университета: Математика, информатика, 2019
Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone, Alessandro Michelangeli, Diego Noja   +2 more
wiley   +1 more source

Method for finding majorant function estimates required to determine Picard’s successive approximations convergence domain

MATEC Web of Conferences, 2018
This paper deals with convergence of Picard’s successive approximations, which give a solution for perturbed body motion differential equations system through constructing a majorizing linear differential equation.
Petelina Vera
doaj   +1 more source

Majorization by starlike functions

The Journal of Nonlinear Sciences and Applications, 2017
Summary: The main object of this paper is to investigate some majorization problems involving the subclass \(S (\alpha,A, B)\) of starlike functions in the open unit disk \(\mathcal{U}\). Relevant connections of the results presented here with those given by earlier workers on the subject are also indicated.
Kiliç, Öznur Özkan, Altıntaş, Osman
openaire   +3 more sources

Quasibounded solutions to the complex Monge–Ampère equation

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We study the Dirichlet problem for the complex Monge–Ampère operator on B‐regular domains in Cn$\mathbb {C}^n$, allowing boundary data that is singular or unbounded. We extend the concept of pluri‐quasibounded functions on the domain to functions on the boundary, defined by the existence of plurisuperharmonic majorants that dominate their ...
Mårten Nilsson
wiley   +1 more source

Moments of L$L$‐functions via a relative trace formula

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley   +1 more source

Brownian Motion With Partial Resetting Conditioned to Stay Positive

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We consider Brownian motion with partial resetting, which has recently attracted a lot of attention in physics as well as the mathematics literature. We analyze the speed of convergence of this process towards stationarity as well as its quasistationary behavior.
Martin Kolb, Achim Wübker
wiley   +1 more source

Existence of Time-Scale Class of Three Dimensional Fractional Differential Equations

International Journal of Analysis and Applications, 2019
The holomorphic results for fractional differential operator formals have been established. The analytic continuation of these outcomes has been studied for the fractional differential formalwhere U is the open unit disk. The benefit of such a problem is
Rabha W. Ibrahim, Maslina Darus
doaj   +2 more sources