The Measure Theoretic Approach to Density
From MaRDI portal
Publication:5838430
DOI10.2307/2371785zbMath0061.07503OpenAlexW2326949987MaRDI QIDQ5838430
Publication date: 1946
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2371785
Related Items (77)
On I-statistically rough convergence ⋮ ON λ-STATISTICAL CONVERGENCE OF ORDER β OF SEQUENCES OF FUZZY NUMBERS ⋮ Asymptotic approximation by regular languages ⋮ A COUNTABLE ECONOMY: AN EXAMPLE ⋮ Carathéodory extensions of subclasses of regular languages ⋮ On natural density, orthomodular lattices, measure algebras and non-distributive \(L^p\) spaces ⋮ A note on the density of k-free polynomial sets, Haar measure and global fields ⋮ Applications of statistical convergence to \(n\)-normed spaces ⋮ An Isomorphism Theorem for Finitely Additive Measures ⋮ On the density of sumsets ⋮ On some I -convergent generalized difference sequence spaces associated with multiplier sequence defined by a sequence of modulli ⋮ A study on convergence and ideal convergence classes ⋮ Some remarks on countably determined measures and uniform distribution of sequences ⋮ Unnamed Item ⋮ Barrelled subspaces of spaces with subseries decompositions or Boolean rings of projections ⋮ On a new class of trigonometric thin sets extending Arbault sets ⋮ Statistically characterized subgroups of the circle. II: Continued fractions ⋮ Unnamed Item ⋮ On the concept of \(B\)-statistical uniform integrability of weighted sums of random variables and the law of large numbers with mean convergence in the statistical sense ⋮ Korovkin type theorems for Cheney-Sharma operators via summability methods ⋮ On the additive property of finitely additive measures ⋮ Summability in topological spaces ⋮ Abel summability in topological spaces ⋮ Approximation by Durrmeyer variant of Cheney-Sharma Chlodovsky operators ⋮ Some further remarks on characterized subgroups generated by modular simple density ⋮ Metrics on \(\mathbb{N}\) and the distribution of sequences ⋮ Lacunary ideal convergence in intuitionistic fuzzy normed linear spaces ⋮ NEW CHARACTERIZATIONS OF FUZZY TOPOLOGY ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ On the notions of upper and lower density ⋮ Densities on Dedekind domains, completions and Haar measure ⋮ Integrability of sequences ⋮ Unnamed Item ⋮ On the concept of \(A\)-statistical uniform integrability and the law of large numbers ⋮ Unnamed Item ⋮ Range of density measures ⋮ Generating subgroups of the circle using statistical convergence of order \(\alpha\) ⋮ Some results concerning the summability of spliced sequences ⋮ Statistically characterized subgroups of the circle ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Statistical Limit Points ⋮ Lacunary ideal convergence of multiple sequences in probabilistic normed spaces ⋮ ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES ⋮ I-statistical limit superior and I-statistical limit inferior ⋮ Approximation by Cheney-Sharma Chlodovsky operators ⋮ Density measures and additive property ⋮ Subseries of \(\mathcal I\)-convergent series ⋮ Ideal-convergence classes ⋮ PROBABILISTIC CONDITIONALS ARE ALMOST MONOTONIC ⋮ Rates of power series statistical convergence of positive linear operators and power series statistical convergence of \(q\)-Meyer-König and Zeller operators ⋮ Relatively uniform weighted summability based on fractional-order difference operator ⋮ Generating subgroups of the circle using a generalized class of density functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Measure density for set decompositions and uniform distribution ⋮ Solution of a general version of Armacost's problem on topologically torsion elements ⋮ On the ideal convergence of sequences of fuzzy numbers ⋮ On the uniqueness of \(\mathcal{I}\)-limits of sequences ⋮ \(A\)-distributional summability in topological spaces ⋮ About a forty years old conjecture by P. Erdős ⋮ Densities on locally compact Abelian groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Central limit theorem and the distribution of sequences ⋮ The asymptotic density of sequences ⋮ Unnamed Item ⋮ On small sets of integers ⋮ Unnamed Item ⋮ On Uniform Distribution and the Density of Sum Sets ⋮ Existence of an uncountable tower of Borel subgroups between the Prüfer group and the \(s\)-characterized group ⋮ Uniform Distribution of Sequences of Integers ⋮ Generalized ideal convergence in probabilistic normed spaces ⋮ Finitely additive measures on groups and rings ⋮ Some results concerning ideal and classical uniform integrability and mean convergence ⋮ On the measure on the set of positive integers ⋮ On I-statistically ϕ-convergence
This page was built for publication: The Measure Theoretic Approach to Density
