On α-I-continuous and α-I-open functions |
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Authors: | A. Açıkgöz T. Noiri Ş. Yüksel |
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Affiliation: | 1. Positron Emission Tomograph Centre Damjanich, u. 18. I/12, H-1071, Budapest, Hungary
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Abstract: | Montgomery and Vaughan improved a theorem of Erd?s and Fuchs for an arbitrary sequence. Sárközy extended this theorem of Erd?s and Fuchs for two arbitrary sequences which are "near" in a certain sense. Using the idea of Jurkat (differentiation of the generating function), we will extend similarly the result of Montgomery and Vaughan for "sufficiently near" sequences. |
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