Results 11 to 20 of about 43,776 (261)
On functions of bounded variation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 AbstractThe recently introduced concept of ${\mathcal D}$-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy–Krause variation is Borel measurable and has bounded ${\mathcal D}$-variation.
Aistleitner, Christoph +3 more
openaire +3 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj +1 more source
On the trace operator for functions of bounded 𝔸-variation [PDF]
Analysis & PDE, 2020 We consider the space BVA(Omega) of functions of bounded A-variation. For a given first-order linear homogeneous differential operator with constant coefficients A, this is the space of L-1-functions u : Omega -> R-N such that the distributional differential expression Au is a finite (vectorial) Radon measure.
Breit, Dominic +2 more
openaire +2 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 Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation [PDF]
Symmetry, 2021 In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.
openaire +2 more sources
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
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