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A note on the uniform convergence and boundedness of a new class of sine series

✍ Scribed by László Leindler


Publisher
Springer
Year
2005
Tongue
English
Weight
121 KB
Volume
31
Category
Article
ISSN
0133-3852

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A new class of numerical sequences and i
✍ Bogdan Szal 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 160 KB 👁 1 views

## Abstract In the present paper we introduce a new class of sequences called __GM__(β, __r__), which is a generalization of the class considered by Tikhonov in 13. Moreover, we obtain sufficient and necessary conditions for uniform convergence of sine series with (β, __r__)‐general monotone coeffi