A new approach with new solutions to the Matkowski and Wesołowski problem
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AbstractBased on a result of de Rham, we give a family of functions solving the Matkowski and Wesołowski problem. This family consists of Hölder continuous functions, and it coincides with the whole family of solutions to the Matkowski and Wesołowski problem found earlier by a different method. Moreover, applying some results due to Hata and Yamaguti and due to Berg and Krüppel, we prove that there are functions solving the Matkowski and Wesołowski problem that are not Hölder continuous.
1990 ◽
Vol 20
(2)
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pp. 95-125
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1992 ◽
Vol 115
(2)
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pp. 431-431
2019 ◽
Vol 372
(3)
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pp. 1027-1058
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1992 ◽
Vol 439
(1906)
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pp. 279-296
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1972 ◽
Vol 10
(3)
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pp. 336-345
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