Results 21 to 30 of about 4,159,680 (186)
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
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A Mean Ergodic Theorem for Affine Nonexpansive Mappings in Nonpositive Curvature Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we consider the orbits of an affine nonexpansive mapping in Hadamard (nonpositive curvature metric) spaces and prove an ergodic theorem for the inductive mean, which extends the von Neumann linear ergodic theorem.
Khatibzadeh Hadi, Pouladi Hadi
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Tauberian theorems via the generalized Nörlund mean for sequences in 2-normed spaces
Annales Mathematicae et Informaticae, 2022 . In this paper, we will show Tauberian conditions under which ordinary convergence of the sequence ( 𝑥 𝑛 ) in 2-normed space 𝑋 , follows from 𝑇 𝑝,𝑞𝑛 -summability.
Valdete Loku
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Bicomplex Landau and Ikehara Theorems for the Dirichlet Series
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The aim of this paper is to generalize the Landau‐type Tauberian theorem for the bicomplex variables. Our findings extend and improve on previous versions of the Ikehara theorem. Also boundedness result for the bicomplex version of Ikehara–Korevaar theorem is derived.
Ritu Agarwal +5 more
wiley +1 more source
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering
Communications on Pure and Applied Mathematics, Volume 74, Issue 10, Page 2025-2063, October 2021., 2021 It is well‐known that when the geometry and/or coefficients allow stable trapped rays, the outgoing solution operator of the Helmholtz equation grows exponentially through a sequence of real frequencies tending to infinity. In this paper we show that, even in the presence of the strongest possible trapping, if a set of frequencies of arbitrarily small ...
David Lafontaine +2 more
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Campana points of bounded height on vector group compactifications
Proceedings of the London Mathematical Society, Volume 123, Issue 1, Page 57-101, July 2021., 2021 Abstract We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in these sets Campana points. Earlier work of Campana and subsequently Abramovich shows that there are several reasonable competing definitions for Campana points.
Marta Pieropan +3 more
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Some Tauberian conditions on logarithmic density [PDF]
Advances in Difference Equations, 2019 Abstract This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and logarithmic $(V,\lambda )$ ( V ,
Adem Kılıçman +2 more
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Tauberian conditions for geometric maximal operators [PDF]
Transactions of the American Mathematical Society, 2008 Let B \mathcal {B} be a collection of measurable sets in R n \mathbb {R}^{n} . The associated geometric maximal operator M B M_{\mathcal {B}} is defined on L
Hagelstein, Paul, Stokolos, Alexander
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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
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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
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