2017, Studia Mathematica 16
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Translation equation and the Jordan non-measurable continuous functions
(2017)A connection between the continuous translation equation and the Jordan non-measurable continuous functions is given. -
Like $N’s$ – a point of view on natural numbers
(2017)We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. $N$ with addition and $N^* = N$ \ $\{0\}$ with multiplication. It appears that there are ... -
On type-2 m-topological spaces
(2017)In the present paper, we define a notion of an m2-topological space by introducing a count of openness of a multiset (mset in short) and study the properties of m2-subspaces, mgp-maps etc. Decomposition theorems involving ... -
Intersect a quartic to extract its roots
(2017)In this note we present a new method for determining the roots of a quartic polynomial, wherein the curve of the given quartic polynomial is intersected by the curve of a quadratic polynomial (which has two unknown co ... -
Some results on pseudo-Q algebras
(2017)The notions of a dual pseudo-Q algebra and a dual pseudo-QC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudo-Q algebra to be a dual pseudo-QC algebra ... -
Strong sequences and partition relations
(2017)The first result in partition relations topic belongs to Ramsey (1930). Since that this topic has been still explored. Probably the most famous partition theorem is Erdös-Rado theorem (1956). On the other hand in 60’s ... -
Local convergence of a multi-step high order method with divided differences under hypotheses on the first derivative
(2017)This paper is devoted to the study of a multi-step method with divided differences for solving nonlinear equations in Banach spaces. In earlier studies, hypotheses on the Fréchet derivative up to the sixth order of the ... -
Discrete-time market models from the small investor point of view and the first fundamental-type theorem
(2017)In this paper, we discuss the no-arbitrage condition in a discrete financial market model which does not hold the same interest rate assumptions. Our research was based on, essentially, one of the most important results ... -
Fekete-Szegö inequalities associated with k[th] root transformation based on quasi-subordination
(2017)Recently, Haji Mohd and Darus [1] revived the study of coefficient problems for univalent functions associated with quasi-subordination. Inspired largely by this article, we provide coefficient estimates with k-th ... -
Annales Universitatis Paedagogicae Cracoviensis. 206. Studia Mathematica 16
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2017)