A Short Note on Weak Estimation of Sharp Function
Journal of Advances in Mathematics and Computer Science · pp. 299–307 · Published 20 Feb 2015
10.9734/BJMCS/2015/14868Abstract
In paper [1] Ahmad et al. investigated the use of sharp function, known from functional analysis, in image processing. The sharp function gives a measure of variations of a function and can be used as an edge detector [2]. We extend the classical notion of sharp function to prove the classical Lebesgue differentiation theorem and Marcinkiewicz theorem for the sublinear operator T(x, y).
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