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1
Content available remote Approximation of functions of several variables by the Baskakov-Durrmeyer type operators
Krech I., Malejki R.
Czasopismo Techniczne. Nauki Podstawowe
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2016
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Y. 113, iss. 1-NP
97--105
EN
In this paper we introduce some linear positive operators of the Baskakov-Durrmeyer type in the space of uniformly continuous and bounded functions of several variables. The theorem on the degree of the convergence is established. Moreover, we give the Voronovskaya type formula for these operators.
PL
W artykule rozważa się operatory typu Baskakowa-Durrmeyera w przestrzeni ograniczonych i jednostajnie ciągłych funkcji wielu zmiennych. Formułuje się i dowodzi twierdzenia dotyczące rzędu zbieżności, jak również twierdzenie typu Woronowskiej dla tych operatorów.
2
Content available Better versus longer series of heads and tails
Krech I.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
55--60
EN
This article considers a part of games theory by Penney. We intuitionally believe that a shorter series is always a better one. We will prove that this is not always so, and a longer series may happen to be better (see also [1]). In the case of Penney's game, in which players can choose their series, the proved theorems an be a part of a player's game strategy.
3
Content available A stochastic graph as a specific tool of mathematization and argumentation
Krech I.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2011
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Vol. 16
245--248
EN
The article presents a stochastic graph as a tool enabling us to show the equality of the event probability without calculating the probability as such. A very important factor here is that the discussed events come from different probabilistic spaces being models of specific Markov chains.
4
Content available remote Weight Factor of a Set of Traces in a Stochastic Semi-simple Homogeneous Graph
Krech I.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
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2003
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Vol. 9
61--67
EN
A method of calculating the weight factor all traces leading to a fixed boundary node in a semi-simple homogeneous stochastic graph is presented in this work. These weights are the probabilities of some events in countable probabilistic spaces.
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