Results 21 to 30 of about 61,523 (203)
Adaptive estimation of multivariate piecewise polynomials and bounded variation functions by optimal decision trees [PDF]
Annals of Statistics, 2019 Proposed by \cite{donoho1997cart}, Dyadic CART is a nonparametric regression method which computes a globally optimal dyadic decision tree and fits piecewise constant functions in two dimensions.
S. Chatterjee, Subhajit Goswami
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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
Trace and extension theorems for functions of bounded variation [PDF]
, 2015 In this paper we show that every $L^1$-integrable function on $\partial\Omega$ can be obtained as the trace of a function of bounded variation in $\Omega$ whenever $\Omega$ is a domain with regular boundary $\partial\Omega$ in a doubling metric measure ...
Luk'avs Mal'y +2 more
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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
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Trace theorems for functions of bounded variation in metric spaces [PDF]
, 2015 In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure supporting a $1$-Poincar\'e inequality, and obtain $L^1$ estimates of the ...
Panu Lahti, Nageswari Shanmugalingam
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Covering numbers for bounded variation functions [PDF]
Journal of Mathematical Analysis and Applications, 2018 In this paper, we provide upper and lower estimates for the minimal number of functions needed to represent a bounded variation function with an accuracy of epsilon with respect to ${\bf L}^1$-distance.
Prerona Dutta, K. Nguyen
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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
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Multivariate bounded variation functions of Jordan-Wiener type [PDF]
Journal of Approximation Theory, 2018 We introduce and study spaces of multivariate functions of bounded variation generalizing the classical Jordan and Wiener spaces. Multivariate generalizations of the Jordan space were given by several prominent researchers but each of them preserved only
A. Brudnyi, Y. Brudnyi
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Metric approximation of set-valued functions of bounded variation
Journal of Computational and Applied Mathematics, 2019 In this paper we approximate univariate set-valued functions (SVFs) of bounded variation with range consisting of general (not necessarily convex) compact sets.
E. Berdysheva +3 more
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Non-Autonomous Maximal Regularity for Forms of Bounded Variation [PDF]
, 2014 We consider a non-autonomous evolutionary problem \[ u' (t)+\mathcal A (t)u(t)=f(t), \quad u(0)=u_0, \] where $V, H$ are Hilbert spaces such that $V$ is continuously and densely embedded in $H$ and the operator $\mathcal A (t)\colon V\to V^\prime$ is ...
Dominik Dier
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