Bibliographic Details
| Title: |
On close-to-scalar one-parameter cosine families. |
| Authors: |
Bobrowski, Adam1 a.bobrowski@pollub.pl, Chojnacki, Wojciech2,3 w.chojnacki@uksw.edu.pl, Gregosiewicz, Adam1 a.gregosiewicz@pollub.pl |
| Source: |
Journal of Mathematical Analysis & Applications. Sep2015, Vol. 429 Issue 1, p383-394. 12p. |
| Subjects: |
Cosine function, Secant function, Mathematical analysis, Algebra, Mathematical models |
| Abstract: |
It is shown that if two cosine families with values in a normed algebra with unity, both indexed by t running over all real numbers, of which one consists of the multiples of the unity of the algebra by numbers of the form cos a t for some real a , differ in norm by less than 8 / ( 3 3 ) uniformly in t , then these families coincide. For a ≠ 0 , the constant 8 / ( 3 3 ) is optimal and cannot be replaced by any larger number. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
