Results 21 to 30 of about 163,818 (266)

Analogues of some fundamental theorems of summability theory

International Journal of Mathematics and Mathematical Sciences, 2000
In 1911, Steinhaus presented the following theorem: if A is a regular matrix then there exists a sequence of 0's and 1's which is not A-summable. In 1943, R. C.
Richard F. Patterson
doaj   +1 more source

A multi-gene phylogeny of Cephalopoda supports convergent morphological evolution in association with multiple habitat shifts in the marine environment

BMC Evolutionary Biology, 2012
Background The marine environment is comprised of numerous divergent organisms living under similar selective pressures, often resulting in the evolution of convergent structures such as the fusiform body shape of pelagic squids, fishes, and some marine ...
Lindgren Annie R, Pankey Molly S, Hochberg Frederick G, Oakley Todd H   +3 more
doaj   +1 more source

Predictable projections of conformal stochastic integrals: an application to Hermite series and to Widder's representation

, 2011
In this article, we study predictable projections of stochastic integrals with respect to the conformal Brownian motion, extending the connection between powers of the conformal Brownian motion and the corresponding Hermite polynomials.
Casserini, Matteo, Delbaen, Freddy
core   +1 more source

On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz functions and statistical convergence

Mathematical Modelling and Analysis, 2006
In this paper we introduce the concept of strongly λ(p) convergence of fuzzy numbers with respect to an Orlicz function and examine some properties of the resulting sequence spaces and λ(p) – statistical convergence.
A. Esi
doaj   +1 more source

Double Sequences and Iterated Limits in Regular Space [PDF]

, 2016
First, we define in Mizar [5], the Cartesian product of two filters bases and the Cartesian product of two filters. After comparing the product of two Fréchet filters on ℕ (F1) with the Fréchet filter on ℕ × ℕ (F2), we compare limF₁ and limF₂ for all ...
Coghetto, Roland
core   +2 more sources

Double sequence core theorems

International Journal of Mathematics and Mathematical Sciences, 1999
In 1900, Pringsheim gave a definition of the convergence of double sequences. In this paper, that notion is extended by presenting definitions for the limit inferior and limit superior of double sequences.
Richard F. Patterson
doaj   +1 more source

Efficient implementation of geometric integrators for separable Hamiltonian problems

, 2013
We here investigate the efficient implementation of the energy-conserving methods named Hamiltonian Boundary Value Methods (HBVMs) recently introduced for the numerical solution of Hamiltonian problems.
Brugnano, Luigi, Caccia, Gianluca Frasca, Iavernaro, Felice   +2 more
core   +1 more source

Strict Ideal Completions of the Lambda Calculus [PDF]

, 2018
The infinitary lambda calculi pioneered by Kennaway et al. extend the basic lambda calculus by metric completion to infinite terms and reductions. Depending on the chosen metric, the resulting infinitary calculi exhibit different notions of strictness ...
Bahr, Patrick
core   +3 more sources

Matrix summability of statistically p-convergence sequences

Filomat, 2011
Matrix summability is arguable the most important tool used to characterize sequence spaces. In 1993 Kolk presented such a characterization for statistically convergent sequence space using nonnegative regular matrix. The goal of this paper is extended Kolk?s results to double sequence spaces via four dimensional matrix transformation.
Patterson, Richard F., Savaş, Ekrem
openaire   +2 more sources

Statistical $p$-convergence in lattice-normed Riesz spaces

, 2022
A sequence $(x_n)$ in a lattice-normed space $(X,p,E)$ is statistical $p$-convergent to $x\in X$ if there exists a statistical $p$-decreasing sequence $q\stpd 0$ with an index set $K$ such that $δ(K)=1$ and $p(x_{n_k}-x)\leq q_{n_k}$ for every $n_k\in K$.
Aydın, Abdullah, Yapalı, Reha, Korkmaz, Erdal   +2 more
openaire   +2 more sources