Abstract
Let \(E\) be a bounded subset of real line which contains its infimum and supremum. In this paper, we have defined the \(\phi -\)transform and its inverse, where \(\phi \) is a function from \(E\) into \((0,1]\). We will have shown that real-valued integrable functions on \([a, b]\) and real-valued continuous functions on \(E\) can be approximated by this transformation with an arbitrary precision.
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Communicated by T. Allahviranloo.
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Jahedi, S., Mehdipour, M.J. & Rafizadeh, R. Approximation of integrable functions based on \(\phi -\)transform. Soft Comput 18, 2015–2022 (2014). https://doi.org/10.1007/s00500-013-1182-8
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DOI: https://doi.org/10.1007/s00500-013-1182-8