Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Ladislav Mišík"'
Publikováno v:
Mathematica Bohemica, Vol 141, Iss 4, Pp 483-494 (2016)
Let $\sum\limits_{n=1}^\infty a_n$ be a convergent series of positive real numbers. L. Olivier proved that if the sequence $(a_n)$ is non-increasing, then $\lim\limits_{n \to\infty} n a_n = 0$. In the present paper: (a) We formulate and prove a neces
Externí odkaz:
https://doaj.org/article/2df7e7362ad54653b0105790a3955eb8
Publikováno v:
Uniform distribution theory. 16:93-126
The higher-dimensional generalization of the weighted q-adic sum-of-digits functions sq,γ (n), n =0, 1, 2,..., covers several important cases of sequences investigated in the theory of uniformly distributed sequences, e.g., d-dimensional van der Cor
Publikováno v:
Lithuanian Mathematical Journal. 61:56-59
We say that an ideal ℐ has property (T) if for every ℐ-convergent series $$ {\sum}_{n=1}^{\infty }{x}_n, $$ there exists a set A ∈ ℐ such that Σn∈ℕ\A xn converges in the usual sense. The aim of this paper is to construct a nontrivial ide
Autor:
Ladislav Mišík, János T. Tóth
Publikováno v:
Real Analysis Exchange. 46
Autor:
János T. Tóth, Ladislav Mišík
Publikováno v:
Fuzzy Sets and Systems. 375:179-190
Limit of sequences is a basic concept in mathematical analysis. In this paper we study it in more details using another basic concept of analysis, measure on sets of positive integers. A key role in our considerations is played by the concept of a de
Publikováno v:
Uniform distribution theory. 11:165-174
There are various methods how to describe and characterize distribution of elements of sets of positive integers. One of the most interesting is that using the set of all distribution functions of the corresponding ratio block sequence introduced in
Publikováno v:
Journal of Mathematical Analysis and Applications. 423:1150-1165
We study finitely additive measures on the set $\mathbb N$ which extend the asymptotic density (density measures). We show that there is a one-to-one correspondence between density measures and positive functionals in $\ell_\infty^*$, which extend Ce
Autor:
Ladislav Mišík
Publikováno v:
Acta Arithmetica. 165:333-338
Publikováno v:
Information Sciences. 235:323-328
Let @m=(@m"n) be a universal fuzzy measure and let M(@m) be the set of all @m-measurable sets, i.e. sets [email protected]?N for which the limit @m^*(A)=lim"n"->"[email protected]"n([email protected]?{1,2,...,n}) exists. We are studying properties of
Publikováno v:
Publicationes Mathematicae Debrecen. 82:511-529