## Communicated by P. D. Lax Abstract--We show how a variable-coefficient Sine-Gordon equation may be reduced to standard form by a simple change of independent variables, and point out errors in the recent classification of similarity reductions by B. Tian. (~) 2000 Elsevier Science Ltd. All righ
β¦ LIBER β¦
Remarks on a sine polynomial
β Scribed by Horst Alzer; Stamatis Koumandos
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 122 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0003-889X
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## Abstract Let equation image where equation image In 1958, Vietoris proved that __Ο~n~__ (__x__) is positive for all __n__ β₯ 1 and __x__ β (0, __Ο__). We establish the following refinement. The inequalities equation image hold for all natural numbers __n__ and real numbers __n__ β₯ 1 and __x