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1
Content available remote Direct theorems for modified Basakov operators in Lp-spaces
100%
Maheshwari P.
|
2009
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tom Vol. 42, nr 3
553-565
EN
In the year 1993, Gupta and Srivastava [3] introduced the integral modication of the well known Basakov operators by taking the weight functions of Szasz basis function, so called Baskakov-Szasz operators. To prove our one of the direct theorems, we use the technique of a mathematical tool which is the linear approximating method and is known as the Steklov means.
2
Content available remote Second order evolution problem with dependent on t and not densely defined operators
100%
Winiarska T.
|
2009
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tom Vol. 42, nr 3
513-520
EN
The purpose of this paper is to present some theorems on existence and uniqueness of solution for nonautonomous second order Cauchy problem with a dumping operator and with dependent on t not densely defined operators.
3
Content available remote Porosity of certain classes of operators in generalized metric spaces
100%
Das P. , Dey L.
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2009
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tom Vol. 42, nr 1
163-174
EN
We study the porosity behavior of non-contractive mappings in a generalized metric space, a concept recently introduced in [1]. We also investigate partially the porosity position of a certain class of operators whose condition arises from [8].
4
Symulatory szkoleniowe VR zmieniają oblicze szkoleń operatorów maszyn
100%
Tarnawski L. , Janiak T.
Logistyka
|
2022
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tom nr 6
32--35
PL
Gogle VR są już szeroko stosowane w treningu umiejętności miękkich, a trójmiejski startup Flint Systems z powodzeniem udowodnił, że można je również wykorzystać w treningu umiejętności twardych. Porty, logistyka, offshore, wojsko, budownictwo, energetyka, edukacja – to tylko kilka sektorów, które mogą skorzystać na szkoleniu symulacyjnym VR.
5
Content available remote On right inverses for functional shifts
100%
Binderman Z.
|
2000
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tom Vol. 33, nr 3
665-678
EN
The paper is concerned with functional shifts and functional R-shifts for a right invertible operator D (cf. [30], [15]). Conditions for different kinds of invertibility of these functional shifts on a set of all D-monomials are established.
6
Content available remote An abstract second order Cauchy problem with non-densely defined operator, I
100%
Bochenek J.
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2000
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tom Vol. 33, nr 3
489-501
EN
By using the theory of extrapolation space X-1 associated with an operator A which is non densely defined in Banach space X, the existence and uniqueness of solutions of linear second order differential initial value problem (1) is proved.
7
Content available remote Superpositional measurability in the presence of both semicontinuities of x-sections
100%
Ślęzak W.
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2000
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tom Vol. 33, nr 2
264-276
8
Content available remote On preserves on singularity and nonsingularity of matrices
100%
Kalinowski J.
|
2009
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tom Vol. 42, nr 4
681-685
EN
Operators preserving singularity and nonsingularity of matrices were studied in paper of P. Botta under the assumption that operators are linear. In the present paper the linearity of operators is not assumed: we only assume that operators are of the form T = (fi,j), wherei,j : K -> K and K is a field, i,j is an element of {1,2,...,n}. If n > 3, then in the matrix space Mn(K] operators preserving singularity and nonsingularity of matrices must be as in paper of P. Botta. If n < 2, operators may be nonlinear. In this case the forms of the operators are presented.
9
Content available remote On iterative convergence of resolvents of acceretive operators
75%
Khan S. H.
|
2004
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tom Vol. 37, nr 2
407--417
EN
Weak and strong convergence of resolvents of accretive operators have been studied in this paper under different iteration schemes. In particular for an accretive operator A, the inclusion 0 Ax has been solved. Applying this result, we have found the solution of equation x + Bx = f where B is a Lipschitzian accretive operator.
10
Content available remote Sequences of bounded φ-variation and weighted unconditional convergence of series
75%
Musielak J.
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2005
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tom Vol. 38, nr 1
153--162
EN
There are investigated spaces v0,φ of sequences of bounded φ-variation. Spaces v0, φ are applied to the problem of weighted unconditional convergence of series. It is shown that (vo,φ,lφ* ), where lφ* means the Orlicz sequence space generated by the N-function φ*, is a pair of weighted unconditional convergence. There are also considered nonlinear convolution - type operators in v0,φ .
11
Content available remote On an operatorial inequality
75%
Popa V. , Lungu N.
|
2005
|
tom Vol. 38, nr 3
667-674
EN
In this paper we give an operatorial inequality which is applied to find estimations for the solutions of some integral and differential systems of inequalities.
12
Content available remote On some operations on finite affine planes applied to the theory of regular configurations
75%
Makowiecka H.
|
2010
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tom Vol. 43, nr 1
167-185
EN
We consider some operations on affine planes which resemble the construction of a derived affine plane at a point of the Benz plane. We call them Benz-contractions (B-contractions) , distinguishing between chain contractions and generator contractions. We prove that the Pappos-Pascal configuration is the B-contraction of the affine plane of order 4 and we relate it to the Havlicek-Tietze configuration. We present a new (HT)o-configuration and research some problems of embeddability for (P-P), (H-T), and (HT)o. We propose a method of finding (n - 2) regular configurations on an arbitrary affine plane of order n. Among them are pairs of configurations with dual type and each such a pair can be completed with one point and n -f 1 lines to the initial plane. We prove that for an arbitrary n odd, the non-existence of the symmetric configuration ( n2-1/2, n+1/2) the non-existence of the projective plane of order n. On the basis of Gropp's article flOj, we solve some current problems concerning the existence of non-symmetric configurations with a natural index.
13
Content available remote On preservers of determinant over a field
75%
Kalinowski J.
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2008
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tom Vol. 41, nr 3
519-524
EN
Operators preserving the determinant of real matrices were studied in [1], [2] and [5] under assumption that the operator is linear. In this paper the linearity of the operators is not assumed: we only assume that the operators are of the form F = [fi,j], where functions fij : [...], we characterize these operators from [...] into itself preserving the determinant. An operator preserving the determinant of matrices must be linear as in [4]. The form of operator F is presented.
14
Content available remote Commutativity up to a factor in Banach algebras
75%
Schmoeger C.
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2005
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tom Vol. 38, nr 4
895--900
EN
In this note we explore commutativity up to a factor ab = alfa ba for Hermitian or normal elements of a complex Banach algebra. Our results generalize results obtained for bounded linear operators on Hilbert spaces.
15
Content available remote Petri nets as bitopological spaces
75%
Korczyński W.
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2005
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tom Vol. 38, nr 4
923--934
EN
In the paper a topological presentation of Petri nets has been presented. The presentation is based on a closure operation defined for an arbitrary transitive and dense binary relation. Such relations lead to a natural definition of Petri nets as a special bitopological spaces. In the paper some elementare properties of such spaces-the counter parts of some properties of Petri nets-are described. The paper may be seen as a generalization of [3].
16
Content available remote On the finite spectra of the difference operator nabla over the sequence space lp, (1
75%
Akhmedov A. , Basar F.
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2006
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tom Vol. 39, nr 3
585-595
EN
In the present paper, the norm of the bounded linear operator nabla acting on the sequence space Lp has been found and the fine spectrum with respect to Goldberg's classification of the difference operator nabla over the sequence space Lp has been determined, where 1 < p < oo.
17
Content available remote Corrrection of the proof of lemma 7 of the paper " Horizontal extension of connections into (2)-connections", Demonstratio Math. XXXVII (4) (2004), 963-975
75%
Doupovec M. , Mikulski W.
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2006
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tom Vol. 39, nr 3
729-730
EN
We correct the mistake in the proof of Lemma 7 in our paper "Horizontal extension of connections into (2)-connections" published in Demonstratio Math. XXXVII (4) (2004).
18
Content available remote Minimalizacja wahań napięcia sieci elektrycznej w stanach przejściowych quasiharmonicznych
63%
Siwczyński M. , Drwal A. , Żaba S.
Przegląd Elektrotechniczny
|
2017
|
tom R. 93, nr 10
146--148
PL
W artykule rozwiązano zagadnienie minimalizacji normy wahania napięcia rzeczywistego źródła energii elektrycznej, które zastępuje złożoną sieć zasilającą, uwzględniając również stany przejściowe. Stany te wywoływane są zmianami poboru mocy czynnej od strony odbiornika i kołysaniami sygnału napięcia źródłowego sieci. Użyto nowego aparatu matematycznego wynikłego z połączenia pojęcia ruchomej mocy czynnej i modulacji sygnałów harmonicznych.
EN
In the paper was solved the problem of minimizing the standard voltage fluctuations real source of electricity, which replaces a complex supply network, also taking into account transient states. These states are caused by changes in active power consumption from the receiver and signal rocking of voltage source network. It was used a new mathematical concepts resulting from the merger of moving active power and harmonic signals modulation.
19
Content available remote Strong convergence of an implicit iteration process for a finite family of quasi-contractive operators
63%
Rafiq A.
|
2007
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tom Vol. 40, nr 1
203-208
EN
The purpose of this paper is to establish a strong convergence of an implicit iteration process to a common fixed point for a finite family of quasi-contractive operators. Our theorems give an armative response to a question raised by [Xu and Ori, Numer. Funct. Anal. Optim. 22 (2001) 767-773 ].
20
Content available remote Well-posedness and porosity of a certain class of operators
63%
Lahiri B. , Das P.
|
2005
|
tom Vol. 38, nr 1
169--176
EN
We prove that several fixed point problems are well-posed and study the porosity behaviour of a certain class of operators.
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