Results 11 to 20 of about 16,410 (257)

An Asymptotic Formula for the Commutators

Journal of Functional Analysis, 1998
The main aim of this paper is to prove two asymptotic formulas which unify several ``Taylor type formulas'', defined in the context of commutators and analytic functional calculi. For the sake of simplicity, we shall present only the particular case of bounded linear operators acting in the same Banach space, although the authors' framework is slightly
Beltita, Daniel, Sabac, Mihai
openaire   +1 more source

An asymptotic formula for π

Journal of Number Theory, 1989
Let \(R_ 0,R_ 1,R_ 2,..\). be a nondegenerate binary linear recurrence of integers defined by \(R_ n=AR_{n-1}+BR_{n-2}\) \((n>1)\), where \(R_ 0\), \(R_ 1=1,and\) A, B are fixed nonzero integers. It is proved that \[ \sqrt{\frac{6\cdot \log | R_ 1\cdot R_ 2\cdot \cdot \cdot R_ N|}{\log [R_ 1,R_ 2,...,R_ N]}}\quad =\quad \pi +O(\frac{1}{\log N}) \] for ...
Kiss, Péter, Mátyás, Ferenc
openaire   +1 more source

A new handle on three-point coefficients: OPE asymptotics from genus two modular invariance

Journal of High Energy Physics, 2017
We derive an asymptotic formula for operator product expansion coefficients of heavy operators in two dimensional conformal field theory. This follows from modular invariance of the genus two partition function, and generalises the asymptotic formula for
John Cardy, Alexander Maloney, Henry Maxfield   +2 more
doaj   +1 more source

Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory

Bulletin of Mathematical Sciences, 2023
In [Y.-G. Oh and R. Wang, Analysis of contact Cauchy-Riemann maps I: A priori [Formula: see text] estimates and asymptotic convergence, Osaka J. Math. 55(4) (2018) 647–679; Y.-G. Oh and R.
Yong-Geun Oh
doaj   +1 more source

A lower bound on the number of finite simple groups

International Journal of Mathematics and Mathematical Sciences, 1980
Let S(n ...
Michael E. Mays
doaj   +1 more source

A cardy formula for three-point coefficients or how the black hole got its spots

Journal of High Energy Physics, 2017
Modular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s ...
Per Kraus, Alexander Maloney
doaj   +1 more source

Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators

Journal of Numerical Analysis and Approximation Theory, 2021
In the present paper, we introduce a modification of Ismail-May operators having weights of Baskakov basis functions. We estimate weighted Korovkin's theorem and difference estimates between two operators and establish a Voronovskaja type asymptotic ...
Vijay Gupta, Michael Th. Rassias
doaj   +7 more sources

On Optimal and Asymptotic Properties of a Fuzzy L₂ Estimator

Mathematics, 2020
A fuzzy least squares estimator in the multiple with fuzzy-input–fuzzy-output linear regression model is considered. The paper provides a formula for the L2 estimator of the fuzzy regression model. This paper proposes several operations for fuzzy numbers
Jin Hee Yoon, Przemyslaw Grzegorzewski
doaj   +1 more source

Asymptotic Normality in Linear Regression with Approximately Sparse Structure

Mathematics, 2022
In this paper, we study the asymptotic normality in high-dimensional linear regression. We focus on the case where the covariance matrix of the regression variables has a KMS structure, in asymptotic settings where the number of predictors, p, is ...
Saulius Jokubaitis, Remigijus Leipus
doaj   +1 more source

On the Asymptotic Formula of a Bessel’s Functions Product in Intermodulation Analysis

Tongxin xuebao, 1984
A probability proof of an asymptotic formula of Bessel’s functions product is given. The asymptotic formula, while used for intermodulation analysis, would save a lot of computing time.
Xie Zhongjie
doaj   +2 more sources