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Wyszukujesz frazę "functional inequalities" wg kryterium: Temat

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    Wyświetlanie 1-15 z 15
    Tytuł:
    Continuity of real valued subquadratic functions
    Autorzy:
    Kominek, Zygfryd
    Troczka-Pawelec, Katarzyna
    Powiązania:
    https://bibliotekanauki.pl/articles/745360.pdf
    Data publikacji:
    2011
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    subquadratic functions
    semicontinuity
    functional inequalities
    Opis:
    The aim of this paper is to prove a regularity theorem for real valued subquadratic mappings that are solutions of the inequality \[ \varphi (x + y) + \varphi(x - y) \leq 2\varphi(x) + 2\varphi(y),\quad x, y \in X, where \(X = (X, +)\) is a topological group.
    Źródło:
    Commentationes Mathematicae; 2011, 51, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Iteration groups, commuting functions and simultaneous systems of linear functional equations
    Autorzy:
    Matkowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255342.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    iteration group
    commuting functions
    functional equations
    functional inequalities
    Opis:
    Let (ƒt)t∈R be a measurable iteration group on an open interval I. Under some conditions, we prove that the inequalies g o ƒa ≤ ƒa o g and g o ƒb ≤ ƒb o g for some a, b ∈ R imply that g must belong to the iteration group. Some weak conditions under which two iteration groups have to consist of the same elements are given. An extension theorem of a local solution of a simultaneous system of iterative linear functional equations is presented and applied to prove that, under some conditions, if a function g commutes in a neighbourhood of ƒ with two suitably chosen elements ƒa and ƒb of an iteration group of ƒ then, in this neighbourhood, g coincides with an element of the iteration group. Some weak conditions ensuring equality of iteration groups are considered.
    Źródło:
    Opuscula Mathematica; 2008, 28, 4; 529-539
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Asymptotic properties of solutions of some interative functional inequalities
    Autorzy:
    Brydak, D.
    Choczewski, B.
    Czerni, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/255315.pdf
    Data publikacji:
    2008
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    functional inequalities
    continuous solutions
    test function
    asymptotic behavior
    Opis:
    Continuous solutions of iterative linear inequalities of the first and second order are considered, belonging to a class Fτ of functions behaving at the origin as a prescribed function T.
    Źródło:
    Opuscula Mathematica; 2008, 28, 4; 441-452
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial constant estimates
    Autorzy:
    Brandys, Jolanta
    Powiązania:
    https://bibliotekanauki.pl/articles/745310.pdf
    Data publikacji:
    2007
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    infinite systems
    parabolic differential-functional inequalities
    strong maximum principle
    Opis:
    The purpose of this paper is to present strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial inequalities in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the cylindrical domain.
    Źródło:
    Commentationes Mathematicae; 2007, 47, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Baire measurability of \((M,N)\)-Wright convex functions
    Autorzy:
    Lewicki, Michał
    Powiązania:
    https://bibliotekanauki.pl/articles/746698.pdf
    Data publikacji:
    2008
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Wright convexity
    functional inequalities
    regularity property
    Baire measurable functions
    continuous functions
    Opis:
    Let \(I \subset \mathbb{R}\) be an open interval and \(M, N \colon I^2 \to I\) be means on \(I\). Let \(\varphi\colon I \to \mathbb{R}\) be a solution of the functional equation \[ \varphi(M (x, y)) + \varphi(N (x, y)) = \varphi(x) + \varphi(y),\quad x, y \in I \] We give sufficient conditions on \(M, N\) and the function \(\varphi\) such that for every Baire measurable solution \(f \colon I \to \mathbb{R}\) of the functional inequality \[ f (M (x, y)) + f (N (x, y)) \leq f (x) + f (y),\quad x, y \in I, \] the function \(f \circ \varphi^{-1} \colon \varphi(I) \to \mathbb{R}\) is convex.
    Źródło:
    Commentationes Mathematicae; 2008, 48, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
    Autorzy:
    Jaruszewska-Walczak, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/2050179.pdf
    Data publikacji:
    2004
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    initial problems
    infinite systems of differential functional equations
    difference functional inequalities
    nonlinear estimates of Perron type
    Opis:
    We consider the Cauchy problem for infinite system of differential functional equations $\partial_{t}z_{k}(t, x) = f_{k}(t, x, z, \partial_{x}z_{k}(t, x)), k \in \mathbf{N}$. In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions that given functions satisfy the nonlinear estimates of the Perron type with respect to functional variables. The proof is based on functional difference inequalities. We constructed the Euler method as an example of difference method.
    Źródło:
    Opuscula Mathematica; 2004, 24, 1; 85-96
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Difference functional inequalities and applications
    Autorzy:
    Szafrańska, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/255602.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    initial boundary value problems
    difference functional inequalities
    difference methods
    stability and convergence
    interpolating operators
    error estimates
    Opis:
    The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
    Źródło:
    Opuscula Mathematica; 2014, 34, 2; 405-423
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized solutions of first order partial differential functional inequalities
    Autorzy:
    Czernous, Wojciech
    Powiązania:
    https://bibliotekanauki.pl/articles/746208.pdf
    Data publikacji:
    2006
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    initial boundary value problems
    partial functional differential inequalities
    Carathéodory solutions
    uniqueness
    bicharacteristics
    Opis:
    The paper deals with initial boundary value problems for nonlinear first order partial differential functional equations. A theorem on the uniqueness of generalized solutions is proved. It is based on a comparison result for functional differential inequalities in the Carathéodory sense. A theorem on generalized solutions of functional differential inequalities is presented.
    Źródło:
    Commentationes Mathematicae; 2006, 46, 1
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The method of quasilinearization for system of hyperbolic functional differential equations
    Autorzy:
    Karpowicz, Adrian
    Powiązania:
    https://bibliotekanauki.pl/articles/745763.pdf
    Data publikacji:
    2008
    Wydawca:
    Polskie Towarzystwo Matematyczne
    Tematy:
    Monotone iterative technique
    Generalized quasilinearization
    Hyperbolic equations
    Darboux problem
    Functional differential inequalities
    Opis:
    We deal with monotone iterative method for the Darboux problem for the system of hyperbolic partial functional-differential equations \[ \begin{cases} \frac{\partial^2 u}{\partial x\partial y} (x,y) = f(x,y,u_{(x,y)}, u_{(x,y)}, \text{a.e. in}\ [0,1]\times [0,b]\\ u(x,y) = \psi (x,y), \text{on}\ [-a_0,a]\times [-b_0,b] \setminus (0,a] \times (0,b], \end{cases} \] where the function \(u_{(x,y)}\colon [-a_0,0]\times [-b_0,0] \to \mathbb{R}^k\) is defined by \(u_{(x,y)} (s, t) = u(s + x, t + y)\) for \((s, t)\in [-a_0 , 0] \times [-b_0 , 0]\).
    Źródło:
    Commentationes Mathematicae; 2008, 48, 2
    0373-8299
    Pojawia się w:
    Commentationes Mathematicae
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the asymptotic behaviour of solutions to a linear functional equation
    Autorzy:
    Sokołowski, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/254899.pdf
    Data publikacji:
    2012
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    linear functional equations and inequalities
    solutions with a constant sign
    asymptotic behaviour of solutions
    Opis:
    We investigate the asymptotic behaviour at infinity of solutions of the equation [formula].We show among others that, under some assumptions, any positive solution of the equation which is integrable on a vicinity of infinity or vanishes at +∞ tends on some sequence to zero faster than some exponential function, but it does not vanish faster than another such function.
    Źródło:
    Opuscula Mathematica; 2012, 32, 3; 559-577
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On minimizing noncoercive functionals on weakly vlosed sets
    Autorzy:
    Le, Vy
    Schmitt, Klaus
    Powiązania:
    https://bibliotekanauki.pl/articles/1358925.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    variational inequalities
    P-coercive functional
    semi-coercive functional
    minimization of functionals
    Opis:
    We consider noncoercive functionals on a reflexive Banach space and establish minimization theorems for such functionals on smooth constraint manifolds. The functionals considered belong to a class which includes semi-coercive, compact-coercive and P-coercive functionals. Some applications to nonlinear partial differential equations are given.
    Źródło:
    Banach Center Publications; 1996, 35, 1; 51-72
    0137-6934
    Pojawia się w:
    Banach Center Publications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Criteria for Stability of Uncertain Linear Systems With Time-Varying Delay
    Autorzy:
    Han, Q. L.
    Gu, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/911198.pdf
    Data publikacji:
    2000
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stabilność
    niepewność
    funkcja Lapunowa
    stability
    time-varying delay
    uncertainty
    linear matrix inequalities
    Lyapunov functional
    Opis:
    This paper focuses on the stability problem for uncertain linear systems with time-varying delays. Based on a discretized Lyapunov functional approach, delay-dependent criteria that are formulated in terms of linear matrix inequalities are proposed to guarantee asymptotic stability for such systems. Numerical examples are also included to show the effectiveness of the method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 205-225
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Distribution and rearrangement estimates of the maximal function and interpolation
    Autorzy:
    U. Asekritova, Irina
    Krugljak, Natan
    Maligranda, Lech
    Persson, Lars-Erik
    Powiązania:
    https://bibliotekanauki.pl/articles/1219812.pdf
    Data publikacji:
    1997
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    maximal functions
    weights
    weak type estimate
    rearrangement
    distribution functioni
    inequalities
    interpolation
    K-functional
    weighted spaces
    Opis:
    There are given necessary and sufficient conditions on a measure dμ(x)=w(x)dx under which the key estimates for the distribution and rearrangement of the maximal function due to Riesz, Wiener, Herz and Stein are valid. As a consequence, we obtain the equivalence of the Riesz and Wiener inequalities which seems to be new even for the Lebesgue measure. Our main tools are estimates of the distribution of the averaging function f** and a modified version of the Calderón-Zygmund decomposition. Analogous methods allow us to obtain K-functional formulas in terms of the maximal function for couples of weighted $L_p$-spaces.
    Źródło:
    Studia Mathematica; 1997, 124, 2; 107-132
    0039-3223
    Pojawia się w:
    Studia Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based fault estimation for linear systems with distributed time delay
    Autorzy:
    Filasova, A.
    Gontkovič, D.
    Krokavec, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/229173.pdf
    Data publikacji:
    2013
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    adaptive fault estimation
    distributed time delay systems
    Lyapunov-Krasovskii functional
    integral partitioning technique
    time delay segmentation
    linear matrix inequalities
    Opis:
    The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.
    Źródło:
    Archives of Control Sciences; 2013, 23, 2; 169-186
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Conjugate functions, lp-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity
    Autorzy:
    Matkowski, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/255030.pdf
    Data publikacji:
    2014
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Lp-norm like functional
    homogeneity
    subhomogeneity
    subadditivity
    Minkowski inequality
    Hölder inequality
    converses
    generalization of the Minkowski and Hölder inequalities
    conjugate functions
    complementary functions
    Young conjugate functions
    convex function
    geometrically convex function
    Wright convex function
    functional equation
    Opis:
    For h : (0,∞) → R, the function h* (t) := th( 1/t ) is called (*)-conjugate to h. This conjugacy is related to the Hölder and Minkowski inequalities. Several properties of (*)-conjugacy are proved. If φ and φ* are bijections of (0,∞) then [formula]. Under some natural rate of growth conditions at 0 and ∞, if φ is increasing, convex, geometrically convex, then [formula] has the same properties. We show that the Young conjugate functions do not have this property. For a measure space (Ω,Σ,μ) denote by S = (Ω,Σ,μ) the space of all μ-integrable simple functions x : Ω → R, Given a bijection φ : (0,∞) → (0,∞) define [formula] by [formula] where Ω(x) is the support of x. Applying some properties of the (*) operation, we prove that if ƒ xy ≤ Pφ(x)Pψ (y) where [formula] and [formula] are conjugate, then φ and ψ are conjugate power functions. The existence of nonpower bijections φ and ψ with conjugate inverse functions [formula] such that Pφ and Pψ are subadditive and subhomogeneous is considered.
    Źródło:
    Opuscula Mathematica; 2014, 34, 3; 523-560
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-15 z 15

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