Results 51 to 60 of about 863 (193)
New results for almost increasing sequences
In the present paper, two theorems of absolute summability have been proved by using the definition of almost increasing sequence.
Bağdagül Kartal
doaj
Hybrid Multiscale Method for Polymer Melts: Analysis and Simulations
ABSTRACT We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving–Kirkwood formula to determine an averaged stress tensor for a macroscopic model.
Ranajay Datta +3 more
wiley +1 more source
Riesz lacunary uniform integrability and statistical convergence via power series method
In this paper, the concepts of Riesz lacunary statistical convergence, Riesz lacunary strong convergence, and Riesz lacunary uniform integrability of real sequences within the framework of power series are introduced and studied.
Jun-Jie Quan +3 more
doaj +1 more source
Higher power moments of the Riesz mean error term of symmetric square L-function
Let Δρ(x;sym2f) be the error term of the Riesz mean of the symmetric square L-function. We give the higher power moments of Δρ(x;sym2f) and show that if there exists a real number A0:=A0(ρ)>3 such that ∫1T|Δρ(x;sym2f)|A0dx≪T1+2ρ+13A0+ε, then we can ...
Wang, Haiyan +3 more
core +1 more source
Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
High order Riesz transforms and mean value formula for generalized translate operator
In this paper, the mean value formula depends on the Bessel-generalized shift operator corresponding to the solutions of the boundary value problem related to the multidimensional Bessel operator are studied.
Cansu Keskin +5 more
core +1 more source
Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
wiley +1 more source
Jensen's inequality for partial traces in von Neumann algebras
Abstract Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
Mizanur Rahaman, Lyudmila Turowska
wiley +1 more source
Let G G be a metrizable compact abelian group. A subset Λ \Lambda in the dual group is said to be ergodic if every f ∈ L ∞ ( G
Daniel Li
core +1 more source
The Steklov spectrum of spherical cylinders
Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
wiley +1 more source

