Results 201 to 210 of about 1,062,122 (246)
Some of the next articles are maybe not open access.
Strongly deferred almost convergence and deferred almost statistical convergence
MATHEMATICA, 2022This paper introduces the concepts of deferred almost convergence, strongly deferred almost convergence and deferred almost statistical convergence, and investigates the relationship between these concepts. Also, it gives the notions of asymptotical deferred almost equivalence and asymptotical deferred almost statistical equivalence.
Meryem Ece Alkan, Fatih Nuray
openaire +1 more source
On Almost Convergent and Statistically Convergent Subsequences
Acta Mathematica Hungarica, 2001A bounded sequence \(s=(s_{n})\) is almost convergent to \(L\) if \[ \lim_{k}\frac{1}{k}\sum_{i=0}^{n-1}s_{n+i}=L,\quad \text{uniformly in }n . \] We write \(f\)-\(\lim s=L\) and \(\mathbf F=\{s=(s_{n}): f\text{-}\lim s=L\text{ for some }L\}.\) The sequence \(s=(s_{n})\) is called statistically convergent to \(L\) provided that \(\lim_{n}n^{-1}\left ...
Miller, H. I., Orhan, C.
openaire +2 more sources
2000
We define two notions of convergence which seem to be of some interest, also for their meaning in probability theory, and which, apparently, have not yet been considered explicitly in the literature. We study these notions and compare them with the most familiar notions of convergence.
Emanuele Casini, Pier Luigi Papini
openaire +3 more sources
We define two notions of convergence which seem to be of some interest, also for their meaning in probability theory, and which, apparently, have not yet been considered explicitly in the literature. We study these notions and compare them with the most familiar notions of convergence.
Emanuele Casini, Pier Luigi Papini
openaire +3 more sources
Acta Mathematica Hungarica, 1999
Regular convergence of multiple sequences, introduced by G.H.Hardy and F.Moricz, can be generalized to almost convergent sequences in various ways. In the paper classes of almost convergent double sequences with a kind of uniform regularity are studied. These classes are in some respects similar to the class of regular sequences.
openaire +2 more sources
Regular convergence of multiple sequences, introduced by G.H.Hardy and F.Moricz, can be generalized to almost convergent sequences in various ways. In the paper classes of almost convergent double sequences with a kind of uniform regularity are studied. These classes are in some respects similar to the class of regular sequences.
openaire +2 more sources
Periodica Mathematica Hungarica, 1993
A net \((f_ n)\) of functions on a topological space \(X\) to a uniform space \((Y,{\mathcal U})\) converges almost uniformly to a function \(f\) at \(x_ 0\in X\) if for each \(U\in{\mathcal U}\) there exists a neighborhood \(W\) of \(x_ 0\) such that eventually \((f_ n(x),f(x))\in U\) for each \(x\in W\).
openaire +1 more source
A net \((f_ n)\) of functions on a topological space \(X\) to a uniform space \((Y,{\mathcal U})\) converges almost uniformly to a function \(f\) at \(x_ 0\in X\) if for each \(U\in{\mathcal U}\) there exists a neighborhood \(W\) of \(x_ 0\) such that eventually \((f_ n(x),f(x))\in U\) for each \(x\in W\).
openaire +1 more source
Almost Everywhere Convergent Fourier Series
Journal of Fourier Analysis and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carro, M. J. +2 more
openaire +2 more sources
2017
This chapter gives the basic theory of almost sure convergence and Kolmogorov’s strong law of large numbers (1933) according to which the empirical mean of an iid sequence of integrable random variables converges almost surely to the probabilistic mean (the expectation).
openaire +1 more source
This chapter gives the basic theory of almost sure convergence and Kolmogorov’s strong law of large numbers (1933) according to which the empirical mean of an iid sequence of integrable random variables converges almost surely to the probabilistic mean (the expectation).
openaire +1 more source
Absolute Almost Convergence and Riesz Convergence
2014In this chapter, we define the notion of almost bounded variation and absolute almost convergence for double sequences. We use the definition of absolute almost convergence to define absolute almost conservative and absolute almost regular matrices and find necessary and sufficient conditions to characterize these matrices.
M. Mursaleen, S. A. Mohiuddine
openaire +1 more source
Almost Convergence, Summability And Ergodicity
Canadian Journal of Mathematics, 1974The notion of almost convergence introduced by Lorentz [15] has been generalized in several directions (see, for example [1; 8; 11 ; 14; 17]). I t is the purpose of this paper to give a generalization based on the original definition in terms of invariant means. This is effected by replacing the shift transformation by an "ergodic" semigroupof positive
openaire +2 more sources
2016
We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
openaire +1 more source
We have seen in Part II the importance of a.e. convergence in integration theory. The purpose of this last chapter of our book is to clarify its relationship to other convergence notions.
openaire +1 more source