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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
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...