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Translation equation and the Jordan nonmeasurable continuous functions
(2017)A connection between the continuous translation equation and the Jordan nonmeasurable continuous functions is given. 
LikeN’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 type2 mtopological spaces
(2017)In the present paper, we define a notion of an m2topological space by introducing a count of openness of a multiset (mset in short) and study the properties of m2subspaces, mgpmaps 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 pseudoQ algebras
(2017)The notions of a dual pseudoQ algebra and a dual pseudoQC algebra are introduced. The properties and characterizations of them are investigated. Conditions for a dual pseudoQ algebra to be a dual pseudoQC 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 ErdösRado theorem (1956). On the other hand in 60’s ... 
Local convergence of a multistep high order method with divided differences under hypotheses on the first derivative
(2017)This paper is devoted to the study of a multistep 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 ... 
Discretetime market models from the small investor point of view and the first fundamentaltype theorem
(2017)In this paper, we discuss the noarbitrage 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 ... 
FeketeSzegö inequalities associated with k[th] root transformation based on quasisubordination
(2017)Recently, Haji Mohd and Darus [1] revived the study of coefficient problems for univalent functions associated with quasisubordination. Inspired largely by this article, we provide coefficient estimates with kth ... 
Annales Universitatis Paedagogicae Cracoviensis. 206. Studia Mathematica 16
(Wydawnictwo Naukowe Uniwersytetu Pedagogicznego, Kraków, 2017) 
Comparative growth analysis of Wronskians in the light of their relative orders
(2015)In this paper we study the comparative growth properties of a composition of entire and meromorphic functions on the basis of the relative order (relative lower order) of Wronskians generated by entire and meromorphic ... 
The class B[p] for weighted generalized Fourier transform inequalities
(2015)In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the wellknown class B[p]. As application, we obtain the Pitt’s inequality for ... 
Further investigations on a question of Zhang and Lü
(2015)In the paper based on the question of Zhang and Lü [15], we present one theorem which will improve and extend results of BanerjeeMajumder [2] and a recent result of LiHuang [9]. 
On the stability of the squares of some functional equations
(2015)We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in UlamHyers sense of the alternation of ... 
Stability of a generalization of the Fréchet functional equation
(2015)We prove some stability and hyperstability results for a generalization of the well known Fréchet functional equation, stemming from one of the characterizations of the inner product spaces. As the main tool we use a ... 
A note on preserving the spark of a matrix
(2015)Let Mm×n(F) be the vector space of all m×n matrices over a field F. In the case where m ≥ n, char(F) ≠ 2 and F has at least five elements, we give a complete characterization of linear maps ϕ: Mm×n(F) > Mm×n(F) such ...