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Wyszukujesz frazę "generalized functions" wg kryterium: Temat


Tytuł:
Minimal realizations of generalized Nevanlinna functions
Autorzy:
Hassi, S.
Wietsma, H. L.
Powiązania:
https://bibliotekanauki.pl/articles/254719.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
generalized Nevanlinna functions
selfadjoint (multi-valued) operators
minimal realizations
Opis:
Minimal realizations of generalized Nevanlinna functions that carry the information on their generalized poles of nonpositive type in an explicit form are established. These realizations are based on a modification of the basic canonical factorization of generalized Nevanlinna functions whereby the non-minimality problems in realizations that are based directly on the canonical factorization are circumvented.
Źródło:
Opuscula Mathematica; 2016, 36, 6; 749-768
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of the stationary thermal state of simple geometry layered structures with themperature dependent heat conductivity factors
Autorzy:
Makhorkin, M
Makhorkin, I.
Makhorkina, T.
Powiązania:
https://bibliotekanauki.pl/articles/411285.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
multilayer structures
solids of simple geometry
steady thermal state
temperature-dependent heat conduction factors
generalized functions
Opis:
An analytical-numerical method to determine the one-dimensional stationary thermal state of simple geometry multilayer structures for arbitrary dependences of heat-conductivity factors on temperature is proposed (the multilayer bodies of thermosensitive materials, referred to one of the classical orthogonal coordinate systems are considered, the thermal state caused by thermal load is characterized by a onedimensional stationary temperature field. Approbation of the methodology by studying the stationary thermal state of a two-layer cylinder is realized. The cases of existence of a closed-form analytic solutions for the nonlinear heat conduction problem are considered.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2018, 7, 3; 23-28
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On approximately Breckner s-convex functions
Autorzy:
Burai, P.
Hazy, A.
Juhasz, T.
Powiązania:
https://bibliotekanauki.pl/articles/205651.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convexity
approximate convexity
s-convexity
regularity properties of generalized convex functions
Opis:
The main goal of this paper is to consider the regularity and convexity properties of a given type of approximately generalized convex functions, namely approximately Breckner s-convex functions (see the origin of the definition in Breckner, 1978). Our main result is a Bernstein-Doetsch type one. It is proved that the local boundedness of such a type of function from above at a point of its domain implies approximate convexity and stronger regularity properties of the function in question on the whole domain.
Źródło:
Control and Cybernetics; 2011, 40, 1; 91-99
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense
Autorzy:
Budak, H.
Sarikaya, M. Z.
Set, E.
Powiązania:
https://bibliotekanauki.pl/articles/122303.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
generalized Hermite-Hadamard inequality
generalized Hölder inequality
generalized convex functions
nierówność Höldera
wypukłość funkcji
nierówność Hermite-Hadamarda
Opis:
In this paper, we establish some generalized Ostrowski type inequalities for functions whose local fractional derivatives are generalized s-convex in the second sense.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 11-21
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Successive derivatives and finite expansions involving the H-function of one and more variables
Autorzy:
Joshi, C.
Joshi, N.
Powiązania:
https://bibliotekanauki.pl/articles/1294694.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
H-function of several variables
differential operator
expansion formulas
Appell functions
Lauricella functions
Kampé de Fériet function
generalized hypergeometric functions
Opis:
Certain results including the successive derivatives of the H-function of one and more variables are established. These remove the limitations of Ławrynowicz's (1969) formulas and as a result extend the results of Skibiński [13] and various other authors. As an application some finite expansion formulas are also established, which reduce to hypergeometric functions of one and more variables that are of common interest.
Źródło:
Annales Polonici Mathematici; 1997, 67, 1; 15-29
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On inclusion relationships of certain subclasses of meromorphic functions involving integral operator
Autorzy:
Muhammad, Ali
Powiązania:
https://bibliotekanauki.pl/articles/747194.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Meromorphic functions
functions with bounded boundary and bounded radius rotation
quasi-convex functions
close-to-convex functions
generalized hypergeometric functions
functions with positive real part
Hadamard product (or convolution)
Opis:
In this paper, we introduce some subclasses of meromorphic functions in the punctured unit disc. Several inclusion relationships and some other interesting properties of these classes are discussed.
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:
On vectorial Hamilton-Jacobi equations
Autorzy:
Imbert, C.
Volle, M.
Powiązania:
https://bibliotekanauki.pl/articles/205760.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized Hopf and Lax functions
lsc solutions
multitime Hamilton-Jacobi equations
vectorial Hamilton-Jacobi equations
Opis:
We consider the generalized Hopf and Lax functions associated with a vector-valued hamiltonian and we prove that they still provide lower semicontinuous solutions for the corresponding vectorial Hamilton-Jacobi equation in a very general context. Uniqueness of these generalized solutions is also investigated.
Źródło:
Control and Cybernetics; 2002, 31, 3; 493-506
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
Autorzy:
Grzybowski, J.
Pallaschke, D.
Urbański, R.
Powiązania:
https://bibliotekanauki.pl/articles/970935.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized directional derivatives
point derivations
Lipschitz functions
Opis:
In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is proposed for locally Lipschitz functions, defined on an open subset of a Banach space. Although Leibniz rule is of less importance for a subdifferential calculus, it is of course of some theoretical interest to know about the existence of generalized directional derivatives which satisfy Leibniz rule. The proposed concept of generalized directional derivatives is adopted from the work of D. R. Sherbert (1964) who determined all point derivations for the Banach algebra of Lipschitz functions over a complete metric space.
Źródło:
Control and Cybernetics; 2007, 36, 4; 911-924
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Point derivations for Lipschitz functions andClarkes generalized derivative
Autorzy:
Demyanov, Vladimir
Pallaschke, Diethard
Powiązania:
https://bibliotekanauki.pl/articles/1339173.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
point derivations
generalized directional derivative
Lipschitz functions
Opis:
Clarke's generalized derivative $f^0(x,v)$ is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed $x\in X$ and fixed $v\in E$ the function $f^0(x,v)$ is continuous and sublinear in $f\in Lip(X,d)$. It is shown that all linear functionals in the support set of this continuous sublinear function satisfy Leibniz's product rule and are thus point derivations. A characterization of the support set in terms of point derivations is given.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 4; 465-474
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The equality case in some recent convexity inequalities
Autorzy:
Maksa, G.
Pales, Z.
Powiązania:
https://bibliotekanauki.pl/articles/254943.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
generalized convexity
affine functions
functional equations
extension theorem
Opis:
In this paper, we investigate a functional equation related to some recently introduced and investigated convexity type inequalities.
Źródło:
Opuscula Mathematica; 2011, 31, 2; 269-277
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiobjective variational programming under generalized (V, p)-B-type I functions
Autorzy:
Khazafi, K.
Rueda, N.
Enflo, P.
Powiązania:
https://bibliotekanauki.pl/articles/970961.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiobjective variational programming
efficient solution
proper efficient solution
generalized (V, p)-B-type I functions
sufficient conditions
mixed type duality rusults
Opis:
In this paper, we generalize the (V, p)-invexity denned for nonsmooth multiobjective fractional programming by Mishra, Rueda and Giorgi (2003) to variational programming problems by defining new classes of vector- valued functions called (V, p)-B-type I and generalized (V, p)-B-type I. Then we use these new classes to derive various sufficient optimality conditions and mixed type duality results.
Źródło:
Control and Cybernetics; 2009, 38, 2; 555-572
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Autorzy:
Aghezzaf, B.
Khazafi, K.
Powiązania:
https://bibliotekanauki.pl/articles/970415.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sufficient conditions
mixed type duality
multiobjective variational programming
efficient solution
B-type I vector-valued functions
generalized B-type I vector-valued functions
rozwiązanie efektywne
warunek wystarczający
Opis:
In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vector-valued functions and use this concept to establish sufficient optimality conditions and mixed type duality results
Źródło:
Control and Cybernetics; 2004, 33, 1; 113-126
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Integral representations for some weighted classes of functions holomorphic in matrix domains
Autorzy:
Djrbashian, M.
Karapetyan, A.
Powiązania:
https://bibliotekanauki.pl/articles/1312519.pdf
Data publikacji:
1991
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Siegel domain
matrix domains
generalized unit disk
generalized upper half-plane
weighted classes of holomorphic functions
integral representations
Opis:
In 1945 the first author introduced the classes $H^p(α)$, 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) $ ∬_\mathbb{D} |f(ζ)|^p (1-|ζ|²)^α dξ dη < ∞ (ζ=ξ+iη) $ and established the following integral formula for $f ∈ H^p(α)$: (2) $ f(z) = (α+1)/π ∬_\mathbb{D} f(ζ) ((1-|ζ|²)^α)//((1-zζ̅)^{2+α}) dξdη, z∈ \mathbb{D} $. We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes $L^p(Ω;[K(w)]^α dm(w))$, where: 1) $Ω = {w = (w₁,...,w_n) ∈ ℂ^n: Im w₁ > ∑_{k=2}^n |w_k|²}$, $K(w) = Im w₁ - ∑_{k=2}^n |w_k|²$; 2) Ω is the matrix domain consisting of those complex m × n matrices W for which $I^{(m)} - W·W*$ is positive-definite, and $K(W) = det[I^{(m)} - W·W*]$; 3) Ω is the matrix domain consisting of those complex n × n matrices W for which $Im W = (2i)^{-1} (W - W*)$ is positive-definite, and K(W) = det[Im W]. Here dm is Lebesgue measure in the corresponding domain, $I^{(m)}$ denotes the unit m × m matrix and W* is the Hermitian conjugate of the matrix W.
Źródło:
Annales Polonici Mathematici; 1991, 55, 1; 87-94
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model
Autorzy:
Michalak, A.
Studniarski, M.
Powiązania:
https://bibliotekanauki.pl/articles/255729.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Gale model
discontinuous functions
generalized directional derivatives
higher-order conditions
Pareto optimality
Opis:
In this paper we examine the concept of Pareto optimality in a simplified Gale economic model without assuming continuity of the utility functions. We apply some existing results on higher-order optimality conditions to get necessary and sufficient conditions for a locally Pareto optimal allocation.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 827-835
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized Newton and NCP-methods: convergence, regularity, actions
Autorzy:
Kummer, Bernd
Powiązania:
https://bibliotekanauki.pl/articles/729371.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
nonsmooth functions
generalized Newton methods
critical points
complementarity
SQP methods
inverse mappings
regularity
Opis:
Solutions of several problems can be modelled as solutions of nonsmooth equations. Then, Newton-type methods for solving such equations induce particular iteration steps (actions) and regularity requirements in the original problems. We study these actions and requirements for nonlinear complementarity problems (NCP's) and Karush-Kuhn-Tucker systems (KKT) of optimization models. We demonstrate their dependence on the applied Newton techniques and the corresponding reformulations. In this way, connections to SQP-methods, to penalty-barrier methods and to general properties of so-called NCP-functions are shown. Moreover, direct comparisons of the hypotheses and actions in terms of the original problems become possible. Besides, we point out the possibilities and bounds of such methods in dependence of smoothness.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2000, 20, 2; 209-244
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł

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