Results 11 to 20 of about 25,300 (266)
Difference functional inequalities and applications [PDF]
Opuscula Mathematica, 2014 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
doaj +1 more source
Journal of Mathematical Analysis and Applications, 1996 Given extended real numbers \(a,b\) with \(a0 ...
Simić, Slavko, Radenović, Stojan
openaire +2 more sources
Testing functional inequalities [PDF]
Journal of Econometrics, 2013 60 pages, 4 ...
Sokbae (Simon) Lee +2 more
openaire +4 more sources
Local Fractional Integral Hölder-Type Inequalities and Some Related Results
Fractal and Fractional, 2022 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
doaj +1 more source
Inequalities for Cyclic Functions
Journal of Approximation Theory, 2001 The cyclic functions are defined as the cyclic partial sums of the exponential function \[ \varphi_n(z):=\sum_{\nu=0}^\infty {z^{n\nu}\over (n\nu)!} \qquad (z\in {\mathbb C},\;2\leq n\in{\mathbb N}). \] In the special case \(n=2\), \(\varphi_2\) is the classical cosine hyperbolic function.
Alzer, H, Ruscheweyh, S, Salinas, L
openaire +4 more sources
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 no ...
Report of Meeting
doaj
An Inequality for Convex Functions
Journal of Mathematical Analysis and Applications, 1994 The authors prove the following interesting inequality for convex functions: Suppose that positive numbers \(s_{i,j}\) \((i= 0,1,2; j= 1,\dots,n)\) satisfy \(s_{1,j}\leq s_{0,j}\leq s_{2,j}\) \((j= 1,\dots,n)\) and \(a_ j s^{-1}_{i,1}+ b_ j s^{-1}_{i,j}= 1\) \((i= 0,1,2; j= 2,\dots,n)\) for positive constants \(a_ j\), \(b_ j\) \((j= 2,\dots,n)\). If \(
Pearce, C.E.M., Pecaric, J.E.
openaire +2 more sources
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
openaire +1 more source
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
doaj
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
doaj +1 more source