Results 21 to 30 of about 321,635 (291)
Difference functional inequalities and applications [PDF]
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.
Anna Szafrańska
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Local Fractional Integral Hölder-Type Inequalities and Some Related Results
This paper is devoted to establishing some functional generalizations of Hölder and reverse Hölder’s inequalities with local fractional integral introduced by Yang.
Guangsheng Chen +3 more
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Non-commutative Nash inequalities [PDF]
A set of functional inequalities - called Nash inequalities - are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative Lp spaces, where their ...
Kastoryano, Michael J., Temme, Kristan
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Hlawka’s functional inequality [PDF]
The paper is devoted to the functional inequality \[ f(x+y)+f(y+z)+f(x+z)\leq f(x+y+z)+f(x)+f(y)+f(z), \tag{1} \] where a real-valued mapping \(f\) is considered either on an abelian group, or on a vector space, or on the real line. Note that for \(f(x,y)=\|x+y\|^2\) considered on a real or complex inner product space, this inequality is known as ...
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Poincar\'e inequality for non euclidean metrics and transportation cost inequalities on $\mathbb{R}^d$ [PDF]
In this paper, we consider Poincar\'e inequalities for non euclidean metrics on $\mathbb{R}^d$. These inequalities enable us to derive precise dimension free concentration inequalities for product measures. This technique is appropriate for a large scope
Gozlan, Nathael
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Given extended real numbers \(a,b\) with \(a0 ...
Simić, Slavko, Radenović, Stojan
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AN ADDITIVE FUNCTIONAL INEQUALITY [PDF]
Summary: In this paper, we solve the additive functional inequality \[\|f(x)+f(y)+f(z)\| \le \| \rho f( s (x+y+z)\| ,\] where \(s\) is a nonzero real number and \(\rho\) is a real number with \(|\rho| < 3\). Moreover, we prove the Hyers-Ulam stability of the above additive functional inequality in Banach spaces.
Lee, Sung Jin +2 more
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no ...
Report of Meeting
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On Gamma Function Inequalities [PDF]
We show that certain functions involving quotients of gamma functions are completely monotonic. This leads to inequalities involving gamma functions. We also establish the infinite divisibility of several probability distributions whose Laplace transforms involve quotients of gamma functions.
Bustoz, Joaquin, Ismail, Mourad E. H.
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Asymptotic properties of solutions of some iterative functional inequalities [PDF]
Continuous solutions of iterative linear inequalities of the first and second order are considered, belonging to a class \(\mathcal{F}_T\) of functions behaving at the origin as a prescribed function \(T\).
Dobiesław Brydak +2 more
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