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- W2049912895 abstract "Suppose that f , g ∈ L ∞ [0,1] have discontinuities of the first kind only. Using the measure, max{‖ f − h ‖ p , ‖ g − h ‖ p }, of simultaneous L p approximation, we show that the best simultaneous approximations, h p , to f and g by nondecreasing functions converge uniformly as p → 1. Part of the proof involves a discussion of discrete simultaneous approximation in a general context. We discuss the inheritance of properties of f and g by h p , and of h p by h 1 ." @default.
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- W2049912895 date "1992-06-01" @default.
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- W2049912895 title "Simultaneous monotone approximation in low-order mean" @default.
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- W2049912895 doi "https://doi.org/10.1017/s000497270003032x" @default.
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