Approximation ofMH q r -class functions by Haar polynomials
Copyright policy )Approximation ofMH q r -class functions by Haar polynomials
Let \(1\leq p\), \(q<\infty\). The paper deals with approximation of \(L_q([0, 1]^d)\)-functions with bounded mixed difference by \(d\)-variate Haar polynomials, where the approximation error is measured in \(L_p\)-metric. The author studies the classical best approximation by \(d\)-variate Haar polynomials with indices lying in hyperbolic crosses and the best \(m\)-term approximation by \(d\)-variate Haar polynomials.
- University of South Carolina United States
- University of South Carolina System United States
best \(m\)-term approximation, approximation of multivariate functions, Multidimensional problems, Haar system, Haar polynomial, functions of bounded mixed difference, best approximation, Approximation by other special function classes
best \(m\)-term approximation, approximation of multivariate functions, Multidimensional problems, Haar system, Haar polynomial, functions of bounded mixed difference, best approximation, Approximation by other special function classes
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