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Wyszukujesz frazę "generalized functions" wg kryterium: Temat


Tytuł:
Strict spectral approximation of a matrix and some related problems
Autorzy:
Ziętak, Krystyna
Powiązania:
https://bibliotekanauki.pl/articles/1339193.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
positive semi-definite matrix
$c_p$-minimal approximation
Moore-Penrose generalized inverse
strict spectral approximation of a matrix
singular values preserving functions
Opis:
We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 267-280
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multivalent Harmonic Functions defined by m-tuple Integral operators
Autorzy:
Sharma, Poonam
Powiązania:
https://bibliotekanauki.pl/articles/745994.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Multivalent Harmonic starlike (convex) functions
Erdélyi-Kober integral operator
Hohlov operator
Carlson and Shaffer operator
convolution
Wright generalized hypergeometric function
Gauss hypergeometric function
incomplete beta function
Opis:
In this paper a multivalent harmonic function is defined by m-tuple integral operators and some classes of these multivalent harmonic functions are studied in terms of inequalities involving Wright generalized hypergeometric functions. Some special cases of our results are also mentioned.
Źródło:
Commentationes Mathematicae; 2010, 50, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
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 the uniform convergence and L¹-convergence of double Walsh-Fourier series
Autorzy:
Móricz, Ferenc
Powiązania:
https://bibliotekanauki.pl/articles/1293178.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Walsh-Paley system
W-continuity
moduli of continuity and smoothness
bounded variation in the sense of Hardy and Krause
generalized bounded variation
complementary functions in the sense of W. H. Young
rectangular partial sum
Dirichlet kernel
convergence in $L^p$-norm
uniform convergence Salem's test
Dini-Lipschitz test
Dirichlet-Jordan test
Opis:
In 1970 C. W. Onneweer formulated a sufficient condition for a periodic W-continuous function to have a Walsh-Fourier series which converges uniformly to the function. In this paper we extend his results from single to double Walsh-Fourier series in a more general setting. We study the convergence of rectangular partial sums in $L^p$-norm for some 1 ≤ p ≤ ∞ over the unit square [0,1) × [0,1). In case p = ∞, by $L^p$ we mean $C_W$, the collection of uniformly W-continuous functions f(x, y), endowed with the supremum norm. As special cases, we obtain the extensions of the Dini-Lipschitz test and the Dirichlet-Jordan test for double Walsh-Fourier series.
Źródło:
Studia Mathematica; 1992, 102, 3; 225-237
0039-3223
Pojawia się w:
Studia Mathematica
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:
The converse of the Hölder inequality and its generalizations
Autorzy:
Matkowski, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1290537.pdf
Data publikacji:
1994
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
measure space
integrable step functions
conjugate functions
a converse of Hölder inequality
subadditive function
convex function
generalized Hölder-Minkowski inequality
Opis:
Let (Ω,Σ,μ) be a measure space with two sets A,B ∈ Σ such that 0 < μ (A) < 1 < μ (B) < ∞ and suppose that ϕ and ψ are arbitrary bijections of [0,∞) such that ϕ(0) = ψ(0) = 0. The main result says that if $ʃ_Ω xydμ ≤ ϕ^{-1} (\int_{Ω} ϕ∘x dμ) ψ^{-1} (\int_{Ω} ψ∘x dμ)$ for all μ-integrable nonnegative step functions x,y then ϕ and ψ must be conjugate power functions. If the measure space (Ω,Σ,μ) has one of the following properties: (a) μ (A) ≤ 1 for every A ∈ Σ of finite measure; (b) μ (A) ≥ 1 for every A ∈ Σ of positive measure, then there exist some broad classes of nonpower bijections ϕ and ψ such that the above inequality holds true. A general inequality which contains integral Hölder and Minkowski inequalities as very special cases is also given.
Źródło:
Studia Mathematica; 1994, 109, 2; 171-182
0039-3223
Pojawia się w:
Studia Mathematica
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:
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:
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
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:
Bounded projections in weighted function spaces in a generalized unit disc
Autorzy:
Karapetyan, A.
Powiązania:
https://bibliotekanauki.pl/articles/1311367.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized unit disc
holomorphic and pluriharmonic functions
weighted spaces
integral representations
bounded integral operators
Opis:
Let $M_{m,n}$ be the space of all complex m × n matrices. The generalized unit disc in $M_{m,n}$ is $R_{m,n} = {Z ∈ M_{m,n}: I^{(m)} - ZZ^\ast \text{ is positive definite} }$. Here $I^{(m)} ∈ M_{m,m}$ is the unit matrix. If 1 ≤ p < ∞ and α > -1, then $L_{α}^{p}(R_{m,n})$ is defined to be the space $L^p{R_{m,n}; [det(I^{(m)} - ZZ^\ast)]^α dμ_{m,n}(Z)}$, where $μ_{m,n}$ is the Lebesgue measure in $M_{m,n}$, and $H_α^p(R_{m,n}) ⊂ L_{α}^{p}(R_{m,n})$ is the subspace of holomorphic functions. In [8,9] M. M. Djrbashian and A. H. Karapetyan proved that, if $Reβ > (α+1)//p -1$ (for 1 < p < ∞) and Re β ≥ α (for p = 1), then $f(\mathcal{Z})= T_{m,n}^{β}(f)(\mathcal{Z}), \mathcal{Z} ∈ R_{m,n},$ where $T_{m,n}^{β}$ is the integral operator defined by (0.13)-(0.14). In the present paper, given 1 ≤ p < ∞, we find conditions on α and β for $T_{m,n}^{β}$ to be a bounded projection of $L_α^p(R_{m,n})$ onto $H_α^p(R_{m,n})$. Some applications of this result are given.
Źródło:
Annales Polonici Mathematici; 1995, 62, 3; 193-218
0066-2216
Pojawia się w:
Annales Polonici Mathematici
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 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:
A numerical procedure for filtering and efficient high-order signal differentiation
Autorzy:
Ibrir, S.
Diop, S.
Powiązania:
https://bibliotekanauki.pl/articles/907392.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
walidacja krzyżowa
różniczkowanie sygnału
wygładzanie
generalized cross validation
smoothing
differentiation
splines functions
optimization
Opis:
In this paper, we propose a numerical algorithm for filtering and robust signal differentiation. The numerical procedure is based on the solution of a simplified linear optimization problem. A compromise between smoothing and fidelity with respect to the measurable data is achieved by the computation of an optimal regularization parameter that minimizes the Generalized Cross Validation criterion (GCV). Simulation results are given to highlight the effectiveness of the proposed procedure.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 201-208
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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

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