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- W2000492802 abstract "In this paper, we study the uniform Hölder continuity of the generalized Riemann function $${R_{alpha,beta} ,,{rm (with},, alpha > 1 ,,{rm and},, beta > 0}$$ ) defined by $$R_{alpha,beta}(x) = sum_{n=1}^{+infty} frac{sin(pi n^beta x)}{n^alpha},quad x in mathbb{R},$$ using its continuous wavelet transform. In particular, we show that the exponent we find is optimal. We also analyse the behaviour of $${R_{alpha,beta} ,,{rm as},, beta}$$ tends to infinity." @default.
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- W2000492802 date "2014-12-21" @default.
- W2000492802 modified "2023-09-27" @default.
- W2000492802 title "About the Uniform Hölder Continuity of Generalized Riemann Function" @default.
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- W2000492802 doi "https://doi.org/10.1007/s00009-014-0501-3" @default.
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