PL
 |
EN
Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 17

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  integral inequality
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote Some quadratic integral inequalities of first order
100%
Florkiewicz B. , Kuchta M.
Colloquium Mathematicum
|
1998
|
tom 75
|
nr 1
7-18
2
Content available remote On some further Wirtinger-Beesack integral inequalities
100%
Florkiewicz B. , Wojteczek K.
Demonstratio Mathematica
|
1999
|
tom Vol. 32, nr 3
495-502
3
Content available remote Some quadratic integral inequalities of Opial type
100%
Kuchta M.
Annales Polonici Mathematici
|
1996
|
tom 63
|
nr 2
103-113
EN
We derive and investigate integral inequalities of Opial type: $∫_I s|hḣ|dt ≤ ∫_I rḣ² dt$, where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation. In this paper a wider class of functions s is given which is the set of solutions of a certain differential inequality. This class is determined directly and some new inequalities are found.
4
Content available remote The 123 theorem of Probability Theory and Copositive Matrices
80%
Kovačec A. , Moreira M. M. R. , Martins D. P.
|
|
nr 1
EN
Alon and Yuster give for independent identically distributed real or vector valued random variables X, Y combinatorially proved estimates of the form Prob(∥X − Y∥ ≤ b) ≤ c Prob(∥X − Y∥ ≤ a). We derive these using copositive matrices instead. By the same method we also give estimates for the real valued case, involving X + Y and X − Y, due to Siegmund-Schultze and von Weizsäcker as generalized by Dong, Li and Li. Furthermore, we formulate a version of the above inequalities as an integral inequality for monotone functions.
5
Content available An application of the Choquet theorem to the study of randomly-superinvariant measures
80%
Rajba T.
Opuscula Mathematica
|
2012
|
tom Vol. 32, no. 2
317-326
EN
Given a real valued random variable Θ we consider Borel measures μ on Β (R), which satisfy the inequality μ(B) ≥ Eμ (B-Θ) (B ∈ Β (R)) or the integral inequality [formula].We apply the Choquet theorem to obtain an integral representation of measures μ satisfying this inequality. We give integral representations of these measures in the particular cases of the random variable Θ.
6
Content available remote On the nonlinear stabilization of the wave equation
80%
Guesmia A.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 2
191-198
EN
We obtain a precise decay estimate of the energy of the solutions to the initial boundary value problem for the wave equation with nonlinear internal and boundary feedbacks. We show that a judicious choice of the feedbacks leads to fast energy decay.
7
Content available remote Integral inequalities on infinite intervals
80%
Barnett N. , Dragomir S.
Demonstratio Mathematica
|
2006
|
tom Vol. 39, nr 3
507-514
EN
Inequalities concerning the distance between a function and some integrals on infinite intervals are given.
8
Content available remote On higher order Volterra-Fredholm integrodifferential equation
70%
Pachpatte B. G.
Fasciculi Mathematici
|
2007
|
tom Nr 37
35-48
EN
In the present paper we study the existence, uniqueness and other properties of soltions of a certain higher order Volterra-Fredholm integrodifferential equation. The well known Banach fixed point theorem coupled with Bilecki type norm and the new integral inequality with explicit estimate are used to establish the results.
9
Content available Fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated s-preinvex in the second sense
70%
Meftah B. , Souahi A.
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
|
2019
|
tom 18
67-83
EN
In this paper we establish a new fractional identity involving a function oftwo independent variables, and then we derive some fractionalHermite-Hadamard type integral inequalities for functions whose modulus ofthe mixed derivatives are co-ordinated s-preinvex in the second sense.
10
Content available remote Integral inequalities of Wirtinger and Opial type in three independent variables
60%
Pachpatte B. G.
Fasciculi Mathematici
|
1999
|
tom Nr 30
113-129
EN
In the present paper we establish some new Wirtinger and Opial type integral inequalities involving functions of three independent variables and their partial derivatives. The method used in the proof is elementary and our results provide new estimates on inequalities ofthis type.
11
Content available remote Integral inequalities associated with inequalities of Opial type
60%
Florkiewicz B. , Kuchta M.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2002
|
tom Vol. 50, no 1
41-45
EN
We derive some new integral inequalities of the form: [...], h [belongs to] H, where I = (alpha, beta), -[infinity is less than or equal alpha < beta is less than or equal infinity], p > 0, H is a wide class of absolutely continuous functions h defined on I and satisfying the limit conditions h(alpha) = 0 or h(beta) = 0, the functions r, s and u are any set of functions related by the appropriate weight functions. To get the desired inequality, at first we derive an integral inequality of Opial type using a uniform method of obtaining integral inequalities with weight functions involving the function and its derivative [2].
12
Content available remote Of neutral type hyperbolic integrodifferential equation
51%
Pachpatte B. G.
Fasciculi Mathematici
|
2008
|
tom Nr 40
57-69
EN
In this paper we study the existence, uniqueness and other properties of solutions of a certain neutral type hyperbolic integrodifferential equation in two independent variables. The Banach fixed point theorem and a certain integral inequality with explicit estimate are used to establish the results.
13
Content available remote Approximate solutions of a certain second order integrodifferential equation
51%
Pachpatte B. G.
Fasciculi Mathematici
|
2010
|
tom Nr 45
99-109
EN
The main aim of this paper is to study the approximate solutions of a certain second order Volterra type integrodifferential equation with given initial values. A variant of a certain basic integral inequality with explicit estimate is used to establish the results.
14
Content available remote On the existence of global solutions of evolution equations
51%
Medved M.
Demonstratio Mathematica
|
2004
|
tom Vol. 37, nr 4
871--882
EN
In this paper a sufficient condition for the existence of global solutions of evolution equations is proved. In the proof a modification of the Bihari type integral inequality to the case of a weakly singular nonlinear integral inequality is used. An application to a reaction-diffusion problem is given.
15
Content available remote On integrated Volterra integrodifferential equation of higher order
51%
Pachpatte B. G.
Fasciculi Mathematici
|
2008
|
tom Nr 39
47-61
EN
In this paper we study the existence and other properties of solutions of a certain iterated Volterra integrodifferential equation of higher order. The tools employed in the analysis are based on application of the Leray-Schauder alternative and a certain integral inequality which provides explicit bound on the unknown function.
16
Content available remote Ulam-Hyers stability of a parabolic partial differential equation
41%
Marian D. , Ciplea S. A. , Lungu N.
Demonstratio Mathematica
|
2019
|
tom Vol. 52, nr 1
475--481
EN
The goal of this paper is to give an Ulam-Hyers stability result for a parabolic partial differential equation. Here we present two types of Ulam stability: Ulam-Hyers stability and generalized Ulam-Hyers-Rassias stability. Some examples are given, one of them being the Black-Scholes equation.
17
Content available remote Integral equation arising in the theory of partial differential equations
41%
Pachpatte B. G.
Fasciculi Mathematici
|
2010
|
tom Nr 43
115-126
EN
The aim of the present paper is to study some basic qualitative properties of solutions of a certain integral equation arising in the theory of partial differential equations. The well known Banach fixed point theorem and the new integral inequality with explicit estimate obtained in the present paper are used to establish the results.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.