Results 21 to 30 of about 167 (162)

On a Tauberian theorem of Landau [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
T(x) = A(-) = xlog x+ bx+ o(x) nfix n with b a constant, theni (1) c1x < A(x) < c2x, where c1 and c2 are positive constants. This gives Tschebyschef's theorem if Mwe take A(x) = A(x) and use the fact that log [x]! = x log x x + O(log x). Landau states that if only the condition T(x) = x log x + O(x) is assumed, then (1) does not follow, a remark whose ...
openaire   +1 more source

Analytic Euclidean bootstrap

open access: yesJournal of High Energy Physics, 2019
We solve crossing equations analytically in the deep Euclidean regime. Large scaling dimension ∆ tails of the weighted spectral density of primary operators of given spin in one channel are matched to the Euclidean OPE data in the other channel ...
Baur Mukhametzhanov, Alexander Zhiboedov
doaj   +1 more source

On a method for inverse theorems for (C,1) and gap (C,1) summability

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1984
A simple method for proving several theorems of Tauberian and Mercerian type for (C,1) and gap (C,1) summability is presented.
Vojislav Maric, Miodrag Tomic
doaj   +1 more source

Some Tauberian Remainder Theorems for Holder Summability

open access: yesMathematical Modelling and Analysis, 2015
In this paper, we prove some Tauberian remainder theorems that generalize the results given by Meronen and Tammeraid [Math. Model. Anal., 18(1):97– 102, 2013] for Holder summability method using the notion of the general control modulo of the oscillatory
Umit Totur, Muhammet Ali Okur
doaj   +1 more source

Generalized nörlund method and convergence acceleration

open access: yesMathematical Modelling and Analysis, 2007
Some propositions on λ‐boundedness for generalized Nörlund method of summability (N, Pn ), where Pn are bounded linear operators from Banach space X into X, are proved. Using these results we have verified some propositions on convergence acceleration by 
Olga Meronen, Ivar Tammeraid
doaj   +1 more source

On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal

open access: yesJournal of Inequalities and Applications, 2021
The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
doaj   +1 more source

A Tauberian Theorem for Double Cesàro Summability Method

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2016
We have generalized Littlewood Tauberian theorems for (C,k,r) summability of double sequences by using oscillating behavior and de la Vallée-Poussin mean.
Bidu Bhusan Jena   +2 more
doaj   +1 more source

Bound on asymptotics of magnitude of three point coefficients in 2D CFT

open access: yesJournal of High Energy Physics, 2020
We use methods inspired from complex Tauberian theorems to make progress in understanding the asymptotic behavior of the magnitude of heavy-light-heavy three point coefficients rigorously. The conditions and the precise sense of averaging, which can lead
Sridip Pal
doaj   +1 more source

On an improved restricted reverse weak‐type bound for the maximal operator

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We obtain an improved lower bound for the restricted reverse weak‐type estimate of the Hardy–Littlewood maximal operator M$M$. This result is applied to the λ$\lambda$‐median maximal operator mλ$m_{\lambda }$ acting on a Banach function space X$X$.
Andrei K. Lerner
wiley   +1 more source

Modular invariance, tauberian theorems and microcanonical entropy

open access: yesJournal of High Energy Physics, 2019
We analyze modular invariance drawing inspiration from tauberian theorems. Given a modular invariant partition function with a positive spectral density, we derive lower and upper bounds on the number of operators within a given energy interval. They are
Baur Mukhametzhanov, Alexander Zhiboedav
doaj   +1 more source

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