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Wyświetlanie 1-15 z 33
Tytuł:
Variational characterizations for eigenfunctions of analytic self-adjoint operator functions
Autorzy:
Katsouleas, G.
Maroulas, J.
Powiązania:
https://bibliotekanauki.pl/articles/254818.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
operator functions
eigenfunctions
eigenvalues
variational principles
Opis:
In this paper we consider Rellich's diagonalization theorem for analytic self-adjoint operator functions and investigate variational principles for their eigenfunctions and interlacing statements. As an application, we present a characterization for the eigenvalues of hyperbolic operator polynomials.
Źródło:
Opuscula Mathematica; 2013, 33, 2; 307-321
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Influence of environmental, ergonomic factors and properties of operators on the reliability of ships propulsion systems
Autorzy:
Frąckowiak, W.
Powiązania:
https://bibliotekanauki.pl/articles/247900.pdf
Data publikacji:
2012
Wydawca:
Instytut Techniczny Wojsk Lotniczych
Tematy:
propulsion system
operator
reliability
analysis
operator functions
Performance Shaping Factor
Opis:
Analyzing the systems in terms of reliability, we often treat them as the technical objects only, omitting human interaction or assuming that operator has constant characteristics. This significantly distorts the results obtained in this way, since human is a part of the system with special properties that can change together with the predisposition of the operator and the conditions under which he operates. These attributes may have a major influence on the reliability of the systems. Therefore, analysis of systems reliability should include a reliability of operator and its properties. In this paper presented the antropotechnical reliability structure based on selected installation, which is a part of ships propulsion system. Also operator’s functions were defined and the analysis of human reliability, taking into account various properties of the operator and the external conditions, were performed. Then, there is assessed the influence of operator and environmental factors on the value of the entire system reliability. The study used the reliability data of the container ship propulsion system equipped with low-speed piston engine, fixed pitch propeller and auxiliary installations. These data were obtained from studies of expert judgments (Brandowski A., Frąckowiak W. et al.) in the years 2007–2009. For HRA (human reliability analysis), HEART technique (Human Error Assessment and Reduction Technique) was used, together with the human unreliability values and correction factors developed by the authors of this method. Study results illustrate influence of environmental, ergonomic factors and the properties of the operator on the reliability of the antropotechnical systems. The studies were subjected exemplification on fuel treatment installation as a part of ships propulsion systems.
Źródło:
Journal of KONES; 2012, 19, 2; 145-151
1231-4005
2354-0133
Pojawia się w:
Journal of KONES
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reverse and improved inequalities for operator monotone functions
Autorzy:
Dragomir, Sever
Powiązania:
https://bibliotekanauki.pl/articles/2078966.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Operator monotone functions
Lowner-Heinz inequality
logarithmic operator inequality
Opis:
In this paper we provide several refinements and reverse operator inequalities for operator monotone functions in Hilbert spaces. We also obtain refinements and a reverse of Lowner-Heinz celebrated inequality that holds in the case of power function.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2020, 74, 2; 19-29
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some application of biorthogonal spline systems to integral equations
Autorzy:
Wronicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/255125.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
operator associated with step functions
B-splines
integral equation
approximation
Opis:
We consider an operator PN : LP(I) -> Sn(deltaN), such that PN f = f for f mem Sn(deltaN), where Sn(deltaN) is the space of splines of degree n with repect to a given partition deltaN of the interval I. This operator is defined by means of a system of step functions biorthogonal to B-splines. Then we use this operator to approximation to the solution of the Fredholm integral equation of the second kind. Convergence rates for the aproximation of the solution of this equation are given.
Źródło:
Opuscula Mathematica; 2005, 25, 1; 149-160
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite dimensional uncertain dynamic systems on Banach spaces and their optimal output feedback control
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729515.pdf
Data publikacji:
2015
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
partially observed
uncertain systems
stochastic systems
operator valued functions
feedback operators
existence of optimal operators in the presence of uncertainty
Opis:
In this paper we consider a class of partially observed semilinear dynamic systems on infinite dimensional Banach spaces subject to dynamic and measurement uncertainty. The problem is to find an output feedback control law, an operator valued function, that minimizes the maximum risk. We present a result on the existence of an optimal (output feedback) operator valued function in the presence of uncertainty in the system as well as measurement. We also consider uncertain stochastic systems and present similar results on the question of existence of optimal feedback laws.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2015, 35, 1; 65-87
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On certain general integral operators of analytic functions
Autorzy:
Frasin, B. A.
Powiązania:
https://bibliotekanauki.pl/articles/747248.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Analytic functions
starlike and convex functions
integral operator
Opis:
In this paper, we obtain new sufficient conditions for the operators \(F_{\alpha_1,\alpha_2,...,\alpha_n,\beta}(z)\) and \(G_{\alpha_1,\alpha_2,...,\alpha_n,\beta}(z)\) to be univalent in the open unit disc \(\mathcal{U}\), where the functions \(f_1, f_2,..., f_n\) belong to the classes \(S^*(a, b)\) and \(\mathcal{K}(a, b)\). The order of convexity for the operators \(F_{\alpha_1,\alpha_2,...,\alpha_n,\beta}(z)\) and \(G_{\alpha_1,\alpha_2,...,\alpha_n,\beta}(z)\) is also determined. Furthermore, and for \(\beta= 1\), we obtain sufficient conditions for the operators \(F_n(z)\) and \(G_n(z)\) to be in the class \(\mathcal{K}(a, b)\). Several corollaries and consequences of the main results are also considered.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2012, 66, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Estimate for initial MacLaurin coefficients of certain subclasses of bi-univalent functions of complex order associated with the Hohlov operator
Autorzy:
Murugusundaramoorthy, Gangadharan
Bulboaca, Teodor
Powiązania:
https://bibliotekanauki.pl/articles/744620.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
analytic functions
univalent functions
bi-univalent functions
bi-starlike and bi-convex functions
Hohlov operator
Gaussian hypergeometric function
Dziok-Srivastava operator
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2018, 17
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Lipschitzian operators of substitution generated by set-valued functions
Autorzy:
Ludew, J. J.
Powiązania:
https://bibliotekanauki.pl/articles/255565.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Nemytskii operator
Holder functions
set-valued functions
Jensen equation
Opis:
We consider the Nemytskii operator, i.e., the operator of substitution, defined by (Nφ)(x) := G(x,φ(x)), where G is a given multifunction. It is shown that if N maps a Hölder space Hα into Hβ and N fulfils the Lipschitz condition then G(x,y) = A(x,y) + B(x), where A(x,·) is linear and A(·,y), B ∈ Hβ. Moreover, some conditions are given under which the Nemytskii operator generated by (1) maps Hα into Hβ and is Lipschitzian.
Źródło:
Opuscula Mathematica; 2007, 27, 1; 13-24
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Schramm
Autorzy:
Ereú, T.
Sánchez, J. L.
Merentes, N.
Wróbel, M.
Powiązania:
https://bibliotekanauki.pl/articles/121631.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
functions
functions of bounded
Nemytskij operator
affine function
funkcje
funkcja ograniczona
operator Nemytskija
funkcja afiniczna
Opis:
We show that the one-sided regularizations of the generator of any uniformly continuous set-valued Nemytskij operator, acting between the spaces of functions of bounded variation in the sense of Schramm, is an affine function. Results along these lines extend the study [1].
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2011, 16; 23-32
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An extension of the univalence criterion for a family of integral operators
Autorzy:
Deniz, Erhan
Orhan, Halit
Powiązania:
https://bibliotekanauki.pl/articles/747246.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Integral operator
analytic functions
univalent functions
open unit disk
univalence criterion
Opis:
The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2010, 54, 2
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Additive inequalities for weighted harmonic and arithmetic operator means
Autorzy:
Dragomir, Sever
Powiązania:
https://bibliotekanauki.pl/articles/1395937.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Young’s inequality
convex functions
arithmetic meanharmonic mean inequality
operator means
operator inequalities
Opis:
In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximal functions for Weinstein operator
Autorzy:
Abdelkefi, Chokri
Powiązania:
https://bibliotekanauki.pl/articles/1795775.pdf
Data publikacji:
2020-03-03
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Weinstein operator
Weinstein transform
Weinstein translation operators
Maximal functions
Opis:
In the present paper, we study in the harmonic analysis associated to the Weinstein operator, the boundedness on $L^p$ of the uncentered maximal function. First, we establish estimates for the Weinstein translation of characteristic function of a closed ball with radius $ε$ centered at 0 on the upper half space $\mathbbR^{d-1}× ]0,+∞[$. Second, we prove weak-type $L^1$-estimates for the uncentered maximal function associated with the Weinstein operator and we obtain the $L^p$-boundedness of this operator for $1 < p ≤+∞$. As application, we define a large class of operators such that each operator of this class satisfies these $L^p$-inequalities. In particular, the maximal operator associated respectively with the Weinstein heat semigroup and the Weinstein-Poisson semigroup belong to this class.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 105-119
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the construction of two-sided approximations to positive solutions of some elliptic problem
Autorzy:
Kolosova, S.
Lukhanin, V.
Powiązania:
https://bibliotekanauki.pl/articles/411231.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
two-sided approximations
operator equation
positive solution
concave operator
conical interval
Green's functions
Green's quasifunction
Opis:
In this paper we have investigated the existence, uniqueness and possibility of constructing of two-sided approximations to the positive solution of a heat conduction problem with two sources. The investigation is based on methods in operator equations theory in half-ordered spaces. In this case we have considered a nonlinear operator equation that corresponds to the initial boundary value problem in a cone of non-negative continous functions. The properties of the corresponding operator define conditions which provide the existence and uniqueness of the solution. The conditions link the parameters of the problem implicitly meaning that they don’t provide the range of allowed values but need to be verified for each specific parameters value set separately. During the investigation we have provided the scheme of a two-sided iteration process which must satisfy the conditions in order to converge to the positive solution from both sides. The computational experiment have been conducted in two domains – unit disk and unit half disk. We have applied both two-sided approximations method and Green’s quasifunction method for the problem solving. The obtained results are presented as a surface and level lines plots and also as a table. The results in corresponding domains obtained by different methods have been compared with each other.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2016, 5, 4; 11-19
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A subordination results for a class of analytic functions defined by q-differential operator
Autorzy:
Frasin, Basem Aref
Murugusundaramoorthy, Gangadharan
Powiązania:
https://bibliotekanauki.pl/articles/1792818.pdf
Data publikacji:
2020-01-14
Wydawca:
Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:
Analytic functions
Univalent functions
Subordinating factor sequence
q-difference operator
Hadamard product (or convolution)
Opis:
In this paper, we derive several subordination results and integral means result for certain class of analytic functions defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also considered.
Źródło:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica; 2020, 19; 53-64
2300-133X
Pojawia się w:
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Functions of bounded variations on compact subsets of \(\mathbb{C}\)
Autorzy:
Gimenez, Jose
Merentes, Nelson
Vivas, Miguel
Powiązania:
https://bibliotekanauki.pl/articles/1912865.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Functions of bounded variation
variation along a curve
composition operator
Opis:
In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane \(\mathbb{C}\), based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator \(C_\varphi\) to act between two such spaces.
Źródło:
Commentationes Mathematicae; 2014, 54, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 33

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