Abstract
In this chapter, we characterize the functions with values in a Banach space which can be approximated by additive mappings, with a given error. Also, we give a characterization of functions with values in a Banach space which can be approximated by a quadratic mapping, with a given error.
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Acknowledgements
The work of P. Găvruţa was partially supported by a grant of Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-ID-JRP-RO-FR-2011-2-11-RO-FR/01.03.2013.
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Găvruţa, L., Găvruţa, P. (2016). Approximation of Functions by Additive and by Quadratic Mappings. In: Rassias, T., Gupta, V. (eds) Mathematical Analysis, Approximation Theory and Their Applications. Springer Optimization and Its Applications, vol 111. Springer, Cham. https://doi.org/10.1007/978-3-319-31281-1_12
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DOI: https://doi.org/10.1007/978-3-319-31281-1_12
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