On equiconvergence of number series

In: Mathematica Slovaca, vol. 63, no. 6

M. Zeltser

Detaily:

Rok, strany: 2013, 1333 - 1346

Kľúčové slová:

convergence/divergence of number series, monotone/weak monotone functions and sequences countable compactness

DOI: https://doi.org/10.2478/s12175-013-0174-6

O článku:

In many classical tests for convergence of number series monotonicity of terms of series is a basic assumption. It was shown by Liflyand, Tikhonov and Zeltser that many of these tests are applicable not only to monotone sequences but also to those from a wider class, called weak monotone. Being more general this class still does not allow zeros and too much oscillation. In this paper we extend the class of weak monotonicity to include the mentioned cases and verify that the convergence tests considered by the mentioned authors still hold on this weaker assumption.

Ako citovať:

ISO 690:

Zeltser, M. 2013. On equiconvergence of number series. In Mathematica Slovaca, vol. 63, no.6, pp. 1333-1346. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0174-6

APA:

Zeltser, M. (2013). On equiconvergence of number series. Mathematica Slovaca, 63(6), 1333-1346. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0174-6

O vydaní: