Results 31 to 40 of about 5,472,506 (230)
AN ADDITIVE FUNCTIONAL INEQUALITY [PDF]
Korean Journal of Mathematics, 2014 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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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 no ...
Report of Meeting
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On Gamma Function Inequalities [PDF]
Mathematics of Computation, 1986 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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Homomorphism-derivation functional inequalities in C*-algebras
AIMS Mathematics, 2020 In this paper, we introduce and solve the following additive-additive $(s,t)$-functional inequality \begin{eqnarray}\label{0.1} && \left\|g\left(x+y\right) -g(x) -g(y)\right\| + \left\|2 h\left(\frac{x+y}{2}\right) - h(x) - h(y) \right\| \\ &&
Choonkil Park, XiaoYing Wu
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Uncertainty Quantification for Markov Processes via Variational Principles and Functional Inequalities [PDF]
SIAM/ASA J. Uncertain. Quantification, 2018 Information-theory based variational principles have proven effective at providing scalable uncertainty quantification (i.e. robustness) bounds for quantities of interest in the presence of nonparametric model-form uncertainty.
Jeremiah Birrell, Luc Rey-Bellet
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Asymptotic properties of solutions of some iterative functional inequalities [PDF]
Opuscula Mathematica, 2008 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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Isoperimetric and Functional Inequalities
Моделирование и анализ информационных систем, 2018 We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) --
Vladimir S. Klimov
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Functional inequalities on manifolds with non-convex boundary [PDF]
Science China Mathematics, 2017 In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.
Lijuan Cheng +2 more
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Generalizations of Ostrowski type inequalities via Hermite polynomials
Journal of Inequalities and Applications, 2020 We present new generalizations of the weighted Montgomery identity constructed by using the Hermite interpolating polynomial. The obtained identities are used to establish new generalizations of weighted Ostrowski type inequalities for differentiable ...
Ljiljanka Kvesić +2 more
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Iteration groups, commuting functions and simultaneous systems of linear functional equations [PDF]
Opuscula Mathematica, 2008 Let \(( f^t )_{t \in \mathbb{R}}\) be a measurable iteration group on an open interval \(I\). Under some conditions, we prove that the inequalies \(g\circ f^a \leq f^a \circ g\) and \(g\circ f^b \leq f^b\circ g\) for some \(a,b \in \mathbb{R}\) imply ...
Janusz Matkowski
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