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We discuss determination of jumps for functions with generalized bounded variation. The questions are motivated by A. Set T := [−π, π). Let L(T) denote the set of all periodic and integrable functions with period 2π. For any f ∈ L(T) denote by (1.1) S[f ](x) := a 0 2 + ∞ k=1 A k (x) = a 0 2 + ∞ k=1 (a k cos kx + b k sin kx) and (1.2) S[f ](x) := ∞ k=1 A k… (More)

- Lianggen Hu
- Mathematical and Computer Modelling
- 2010

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