Results 11 to 20 of about 488,957 (273)
Convolutions with the Continuous Primitive Integral [PDF]
Abstract and Applied Analysis, 2009 If F is a continuous function on the real line and f=F′ is its distributional derivative, then the continuous primitive integral of distribution f is ∫abf=F(b)−F(a).
Erik Talvila
doaj +4 more sources
The variation of invariant graphs in forced systems [PDF]
, 2018 In skew-product systems with contractive factors, all orbits asymptotically approach the graph of the so-called sync function; hence, the corresponding regularity properties primarily matter.
Fernandez, Bastien, Quas, Anthony
core +3 more sources
Demonstratio Mathematica, 2014 In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj +1 more source
Some Inequalities for Functions of Bounded Variation with Applications to Landau Type Results [PDF]
, 2006 Some inequalities for functions of bounded variation that provide reverses for the inequality between the integral mean and the p−norm for p Є [1,∞] are established.
Dragomir, Sever S
core +1 more source
On Bi-Dimensional Second µ-Variation
Demonstratio Mathematica, 2014 In this paper, we present a generalization of the notion of bounded slope variation for functions defined on a rectangle Iba in ℝ2. Given a strictly increasing function µ-defined in a closed real interval, we introduce the class BVµ,2 (Iba ), of ...
Ereú Jurancy +2 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The paper is devoted to the study of the solvability of a nonlinear Volterra–Stieltjes integral equation in the class of real functions defined, bounded and continuous on the real half-axis $\mathbb{R}_+$ and having finite limits at infinity.
Jozef Banas, Agnieszka Dubiel
doaj +1 more source
A chain rule formula in BV and applications to conservation laws
, 2010 In this paper we prove a new chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:]a,b[\to\R^d$ has bounded variation, $B(x,\cdot)$ is continuously differentiable and $B(\cdot,u)$ has bounded variation.
De Cicco V. +2 more
core +1 more source
Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener [PDF]
Opuscula Mathematica, 2010 We show that the one-sided regularizations of the generator of any uniformly continuous and convex compact valued composition operator, acting in the spaces of functions of bounded variation in the sense of Wiener, is an affine function.
A. Azócar +3 more
doaj +1 more source
Decomposition of Functions of Bounded Variation
The Annals of Probability, 1975 Cramer's theorem, that a normal distribution function $(\operatorname{df})$ has only normal components, is extended to a case where the components are allowed to be from a subclass $(B_1)$ of the functions of bounded variation other than the class of df's.
openaire +3 more sources
Generalization of Szász operators: quantitative estimate and bounded variation
Karpatsʹkì Matematičnì Publìkacìï, 2021 Difference of exponential type Szász and Szász-Kantorovich operators is obtained. Similar estimates are given for higher order $\mu$-derivatives of the Szász operators and the Szász-Kantorovich type operators acting on the same order $\mu$-derivative of ...
K. Bozkurt, M.L. Limmam, A. Aral
doaj +1 more source