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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
Invariant Measures with Bounded Variation Densities for Piecewise Area Preserving Maps
Bounded Variation Piecewise Area Preserving Maps Dynamical Systems
2011/8/30
Abstract: We investigate the properties of absolutely continuous invariant probability measures (ACIPs) for piecewise area preserving maps (PAPs) on $\mathbb{R}^d$. This class of maps unifies piecewis...
Approximating the Finite Hilbert Transform via an Ostrowski Type Inequality for Functions of Bounded Variation
Finite Hilbert Transform Ostrowski's Inequality
2008/7/2
Using the Ostrowski type inequality for functions of bounded variation, an approximation of the finite Hilbert Transform is given. Some numerical experiments are also provided.
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation
Linear positive operators Bounded variation Total variation Rate of convergence
2008/6/27
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation.
Sharp Grüss-type Inequalities for Functions whose Derivatives are of Bounded Variation
Riemann-Stieltjes integral Functions of bounded variation Lipschitzian functions Integral inequalities Č ebyš ev Grüss Ostrowski and Lupaş type inequalities
2008/6/26
Sharp Grüss-type inequalities for functions whose derivatives are of bounded variation (Lipschitzian or monotonic) are given. Applications in relation with the well-known Čebyšev, Grüss, Ost...
On Bounded Variation Functions by General MKZD Operators
approximation by positive operators rate of convergence degree of approximation functions of bounded variation total variation
2007/12/11
In this paper, we study the rate of convergence for functions of bounded variation for the recently introduced Bzier variant of the Meyer--Knig--Zeller--Durrmeyer operators.
A Generalized Trapezoid Inequality for Functions of Bounded Variation
Trapezoid inequality bounded variation numerical integration beta function
2010/3/1
We establish a generalization of a recent trapezoid inequality for functions of bounded variation. A number of special cases are considered. Applications are made to quadrature formulae, probability t...