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About differentiability and V BG * class

100%

Turowska M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2014

tom Vol. 19

245--249

Let X be a finite dimensional real Banach space. We show that if the contingent of the curve Γ : (a, b) → X fulfils some conditions then each parametrization of that curve is V BG * . Stanisław Saks proved that each V BG * function is differentiable at a set of full Lebesgue measure. The result of this paper is a partial converse of that theorem.

On the contingent of the graph of the sum of two mappings

100%

Turowska M.

tom Vol. 18

55--66

It is shown that the graph of the sum of two Lipschitz mappings of the real line into a normed space of infinite dimension, whose graphs have tangents, need not have a tangent. Moreover, it turns out that the contingent of the graph of their linear combination may depend on the coefficients of that combination in quite "nonlinear" way.

On symmetrically porouscontinuous functions

63%

Kowalczyk S. , Turowska M.

tom Vol. 22, nr 2

141--151

In the present paper, we introduce the notion of symmetrically porouscontinuous functions. We investigate some properties of symmetric porouscontinuity and its connections with the notion of porouscontinuity, studied by Borsík and Holos in [2]. We prove that there are 2c symmetrically porouscontinuous functions, which extends results of [1] concerning ρ-upper continuous functions.

A note on weakly ϱ-upper continuous functions

63%

Nowakowska K. , Turowska M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2014

tom Vol. 19

195--206

In the article we present definition and some properties of weakly ϱ-upper continuous functions. We find maximal additive and maximal multiplicative families for the class of weakly ϱ-upper continuous functions.

Effect of the Electrode Material on the Electrochemical Reduction of Some 2,5-Dihydro-1,3,4-thiadiazoles

51%

Turowska M. , Mlostoń G. , Romański J. , Raczak J.

tom Vol. 77 / nr 2

237-250

During cyclic voltammetric studies of the 2,5-dihydro-1,3,4-thiadiazoles (_3-1,3,4- thiadiazolines) (1a-e) onHMDEin 0.1_10-3 mol/dm3 LiClO4 acetonitrile and aqueousacetonitrile or aqueous-ethanol Britton-Robinson's buffer solutions in second polarization cycle, besides peaks equivalent to polarographic waves, an additional new system of peaks was observed. The corresponding analogous system of additional peaks has not been observed during the reduction of these substances on electrodes of other materials, as i.e., platinum, gold or glassy carbon. This study showed that it results from the oxidation and reduction of organo-mercury compounds, formed in reaction of the electrode material (Hg) with an adsorbed product of 2,5-dihydro-1,3,4-thiadiazoles reduction.