Results 21 to 30 of about 183 (170)

On a Tauberian theorem of Landau [PDF]

Proceedings 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

Tauberian theorem for the distributional Stieltjes transformation

International Journal of Mathematics and Mathematical Sciences, 1986
In this paper we use the notion of L-quasiasymptotic at infinity of distributions to obtain a final value Tauberian theorem for the distributional Stieltjes transformation.
D. Nikolić-Despotović, S. Pilipović
doaj   +1 more source

Generalized Euler‐Knopp method and convergence acceleration

Mathematical Modelling and Analysis, 2006
New propositions on λ‐boundedness for generalized Euler‐Knopp method of summability (ϵ, T), where ? is a linear bounded operator from Banach space X into X, are proved.
O. Meronen, I. Tammeraid
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Uniform Toeplitz matrices

International Journal of Mathematics and Mathematical Sciences, 1990
We characterize all infinite matrices of bounded linear operators on a Banach space which preserve the limits of uniformly convergent sequences defined on an infinite set.
I. J. Maddox
doaj   +1 more source

A tauberian theorem for the conformal bootstrap

Journal of High Energy Physics, 2017
For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in the crossed channel. Our result has a direct application to systems of SL(
Jiaxin Qiao, Slava Rychkov
doaj   +1 more source

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

Bulletin 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

A Tauberian Theorem for Double Cesàro Summability Method

International 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, Susanta Kumar Paikray, Umakanta Misra   +2 more
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Tauberian-Cardy formula with spin

Journal of High Energy Physics, 2020
We prove a 2 dimensional Tauberian theorem in context of 2 dimensional conformal field theory. The asymptotic density of states with conformal weight (h, h ¯ $$ \overline{h} $$ ) → (∞, ∞) for any arbitrary spin is derived using the theorem.
Sridip Pal, Zhengdi Sun
doaj   +1 more source

The convolution algebra H1(R)

Journal of Function Spaces and Applications, 2010
H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}.
R. L. Johnson, C. R. Warner
doaj   +1 more source