The range of once‐reinforced random walk in one dimension
Random Structures &Algorithms, Volume 58, Issue 1, Page 164-175, January 2021., 2021 We study once‐reinforced random walk on . For this model, we derive limit results on all moments of its range using Tauberian theory.
Peter Pfaffelhuber, Jakob Stiefel
wiley +1 more source
An application of results by Hardy, Ramanujan and Karamata to Ackermannian functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 The Ackermann function is a fascinating and well studied paradigm for a function which eventually dominates all primitive recursive functions. By a classical result from the theory of recursive functions it is known that the Ackermann function can be
Andreas Weiermann
doaj +2 more sources
Converse Theorems for the Cesàro Summability of Improper Integrals
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In thispaper we prove converse theorems to obtain usual convergence of improperintegrals from Cesàro summability.
Sefa Anıl Sezer, Rahmet Savaş
doaj +1 more source
Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
core +4 more sources
Complex Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior [PDF]
, 2019 We provide several Tauberian theorems for Laplace transforms with local pseudofunction boundary behavior. Our results generalize and improve various known versions of the Ingham-Fatou-Riesz theorem and the Wiener-Ikehara theorem.
Debruyne, Gregory, Vindas Diaz, Jasson
core +1 more source
Results on Tauberian Theorem for Cesàro Summable Double Sequences of Fuzzy Numbers
, 2020 The paper aims to establish new results on Tauberian theorem for Cesàro summability of double sequences of fuzzy numbers, and thus to extend and unify several results in the available literature.
B. Jena, S. Paikray, P. Parida, H. Dutta
semanticscholar +1 more source
The short-time Fourier transform of distributions of exponential type and Tauberian theorems for shift-asymptotics [PDF]
, 2016 We study the short-time Fourier transform on the space $\mathcal{K}_{1}'(\mathbb{R}^n)$ of distributions of exponential type. We give characterizations of $\mathcal{K}_{1}'(\mathbb{R}^n)$ and some of its subspaces in terms of modulation spaces.
Kostadinova, Sanja +3 more
core +3 more sources
Comparison of speeds of convergence in Riesz‐type families of summability methods. II
Mathematical Modelling and Analysis, 2010 Certain summability methods for functions and sequences are compared by their speeds of convergence. The authors are extending their results published in paper [9] for Riesz‐type families {Aα} (α > α0 ) of summability methods Aα .
Anna Šeletski, Anne Tali
doaj +1 more source
Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases [PDF]
, 2013 We give an alternative characterization of the class of Muckenhoupt weights $A_{\infty, \mathfrak B}$ for homothecy invariant Muckenhoupt bases $\mathfrak B$ consisting of convex sets. In particular we show that $w\in A_{\infty, \mathfrak B}$ if and only
Hagelstein, Paul A. +2 more
core +1 more source
Análogos a Teoremas Tauberianos
Revista de Matemática: Teoría y Aplicaciones, 2011 We obtain some results similar to W. Rudin’s Tauberian Theorem, on singular integrals defined on bounded intervals.
María de los Angeles Mora M
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