Results 11 to 20 of about 2,881 (164)

Orlicz–Pettis Theorem through Summability Methods

open access: yesMathematics, 2019
This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra   +2 more
doaj   +3 more sources

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

open access: yesAxioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi   +2 more
doaj   +1 more source

Rainwater-Simons-type convergence theorems for generalized convergence methods [PDF]

open access: yes, 2010
We extend the well-known Rainwater-Simons convergence theorem to various generalized convergence methods such as strong matrix summability, statistical convergence and almost convergence.
Hardtke, Jan-David
core   +4 more sources

Ideal-quasi-Cauchy sequences [PDF]

open access: yes, 2012
An ideal $I$ is a family of subsets of positive integers $\textbf{N}$ which is closed under taking finite unions and subsets of its elements.
Cakalli, Huseyin, Hazarika, Bipan
core   +2 more sources

Sparse Deterministic Approximation of Bayesian Inverse Problems [PDF]

open access: yes, 2011
We present a parametric deterministic formulation of Bayesian inverse problems with input parameter from infinite dimensional, separable Banach spaces. In this formulation, the forward problems are parametric, deterministic elliptic partial differential ...
A M Stuart   +12 more
core   +3 more sources

Divergence rates of Markov order estimators and their application to statistical estimation of stationary ergodic processes [PDF]

open access: yes, 2013
Stationary ergodic processes with finite alphabets are estimated by finite memory processes from a sample, an n-length realization of the process, where the memory depth of the estimator process is also estimated from the sample using penalized maximum ...
Talata, Zsolt
core   +2 more sources

Exponential Operators, Dobinski Relations and Summability [PDF]

open access: yes, 2005
We investigate properties of exponential operators preserving the particle number using combinatorial methods developed in order to solve the boson normal ordering problem.
A Gawron   +10 more
core   +3 more sources

Weighted $\beta\gamma$-summability of fuzzy functions of order $\theta$

open access: yes, 2016
The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated.
Ojha, Sarita, Srivastava, P. D.
core   +1 more source

Comparison theorems for summability methods of sequences of fuzzy numbers

open access: yes, 2017
In this study we compare Ces\`{a}ro and Euler weighted mean methods of summability of sequences of fuzzy numbers with Abel and Borel power series methods of summability of sequences of fuzzy numbers. Also some results dealing with series of fuzzy numbers
Yavuz, Enes
core   +3 more sources

Approximation of high-dimensional parametric PDEs [PDF]

open access: yes, 2015
Parametrized families of PDEs arise in various contexts such as inverse problems, control and optimization, risk assessment, and uncertainty quantification. In most of these applications, the number of parameters is large or perhaps even infinite.
Cohen, Albert, Devore, Ronald
core   +6 more sources

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