Properties of Functions of Generalized Bounded Variations

Rajendra G. Vyas ()
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Rajendra G. Vyas: The M. S. University of Baroda

A chapter in Mathematical Analysis, Approximation Theory and Their Applications, 2016, pp 715-741 from Springer

Abstract: Abstract Looking to the features of functions of bounded variation, the notion of bounded variation is generalized in many ways and different classes of functions of generalized bounded variations are introduced. In the present chapter introducing different classes of functions of generalized bounded variations their main interesting properties are discussed. Inter-relations between them and the classes related to them are given in the next section. Finally we try to present overall picture of Fourier analysis of these classes.

Keywords: Absolutely continuous function; Banach space; Banach Algebra; Bounded variation; Convolution product; Fourier series; Fourier coefficients; Module; Ring (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-31281-1_30

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DOI: 10.1007/978-3-319-31281-1_30

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