Zobrazeno 1 - 10
of 104
pro vyhledávání: '"40H05"'
Autor:
Ross, David A.
Short nonstandard proofs are given for some results about infinite systems of equations in infinitely many variables.
Externí odkaz:
http://arxiv.org/abs/2405.04552
Autor:
Nathanson, Melvyn B., Ross, David A.
This paper describes infinite sets of polynomial equations in infinitely many variables with the property that the existence of a solution or even an approximate solution for every finite subset of the equations implies the existence of a solution fo
Externí odkaz:
http://arxiv.org/abs/2405.01766
We present Korovkin approximation theorems that incorporate summability methods. These result allows us to obtain a unified treatment of several previous results, focusing on the underlying structure and the properties that a summability method shoul
Externí odkaz:
http://arxiv.org/abs/2307.02515
We survey some results that provide different versions of classical results through different summability methods. Specifically, in order to adapt such classical results, we analyze which properties should satisfy the summability methods. Sometimes v
Externí odkaz:
http://arxiv.org/abs/2307.02237
We explore some convergence notions for set-convergence coming from modern summability methods. Specifically we will see the connections between Wijsman $f$-statistical convergence and Wijsman $f$-strong Ces\`aro convergence, when $f$ is a modulus fu
Externí odkaz:
http://arxiv.org/abs/2307.02221
Here we fully complete the studies initiated by Vinod K. Bhardwaj and Shweta Dhawan in \cite{hindawi} which relate different convergence methods which involves the classical statistical and the classical strong Ces\`aro convergences by means of lacun
Externí odkaz:
http://arxiv.org/abs/2302.10218
Autor:
Mashreghi, Javad, Ransford, Thomas
We introduce the notion of an asymptotically equicontinuous sequence of linear operators, and use it to prove the following result. If $X,Y$ are topological vector spaces, if $T_n,T:X\to Y$ are continuous linear maps, and if $D$ is a dense subset of
Externí odkaz:
http://arxiv.org/abs/2302.06722
In this paper, we study on weak $I^K$-Cauchy condition as a generalization of weak $I^*$-Cauchy condition in a normed space. We investigate the relationship between weak $I$-Cauchy and weak $I^K$-Cauchy sequences using $AP(I,K)$-condition. Also we st
Externí odkaz:
http://arxiv.org/abs/2301.06827
Autor:
Bërdëllima, Arian, Braha, Naim L.
In this note we show that the Taylor series of a function in a weighted Dirichlet space is (generalized) N\"orlund summable, provided that the sequence determining the N\"orlund operator is non-decreasing and has finite upper growth rate. In particul
Externí odkaz:
http://arxiv.org/abs/2212.03341
Autor:
Alonso, Ricardo J., Gamba, Irene M.
This manuscript focus on an extensive survey with new techniques on the problem of solving the Boltzmann flow by bringing a unified approach to the Cauchy problem to homogeneous kinetic equations with Boltzmann-like collision operators under integrab
Externí odkaz:
http://arxiv.org/abs/2211.09188