Abstract
The aim of this work is to identify few classes of functions with generalized type of bounded variation for which a decomposition theorem of Jordan type holds. We refer especially to functions with nth order bounded variation with respect to a Tchebycheff system. The particular case of trigonometric Tchebycheff systems bring interesting results.
Keywords
- Function with nth order bounded variation
- Jordan decomposition
- nth order convex function
- Tchebycheff system
Mathematics Subject Classification
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Cristescu, G. (2012). Jordan Type Representation of Functions with Generalized High Order Bounded Variation. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_11
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DOI: https://doi.org/10.1007/978-3-0348-0249-9_11
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