Acta Mathematica Hungarica features papers covering most areas of mathematics and, in particular, from those whose work is related to the advances being made by Hungarian mathematicians. It publishes mainly pure mathematics, but occasionally papers of a more applied nature appear in the journal providing they have a non-trivial mathematical content. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences. It is now established as an international journal of repute.

# Acta Mathematica Hungarica

### Description

### Identifiers

ISSN | 0236-5294 |

e-ISSN | 1588-2632 |

DOI | 10.1007/10474.1588-2632 |

### Publisher

Springer International Publishing

### Additional information

Data set: Springer

### Articles

Acta Mathematica Hungarica > 2019 > 159 > 2 > 603-617

In set theory without the Axiom of Choice (AC), we investigate the set-theoretic strength of Dilworth’s theorem for infinite posets with finite width, and its possible placement in the hierarchy of weak choice principles.

Acta Mathematica Hungarica > 2019 > 159 > 2 > 563-588

By a Cantor-like measure we mean the unique self-similar probability measure $$\mu$$ μ satisfying $$\mu = \sum^{m-1}_{i=0} p_{i}{\mu} {\circ} S^{-1}_{i}$$ μ = ∑ i = 0 m - 1 p i μ ∘ S i - 1 where $$S_{i}(x) = \frac{x}{d} + \frac{i}{d} \cdot \frac{d-1}{m-1}$$ S i ( x ) = x d + i d · d - 1 m - 1 for integers $$2 \leq d < m \leq 2d - 1$$ 2 ≤ d <...

Acta Mathematica Hungarica > 2019 > 159 > 2 > 618-637

We give compact formulae of the Lagrange interpolation polynomials and cubature formulae based on the common zeros of product Chebyshev polynomials of the second kind. Further, for $$0<p\leq2$$ 0 < p ≤ 2 , we study the mean convergence of the Lagrange interpolation polynomials.