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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
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.
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...