Premium
General monotone sequences and trigonometric series
Author(s) -
Booton Barry
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200297
Subject(s) - mathematics , trigonometric series , monotone polygon , equivalence (formal languages) , trigonometric polynomial , norm (philosophy) , pythagorean trigonometric identity , pure mathematics , series (stratigraphy) , trigonometry , mathematical analysis , polynomial , geometry , paleontology , linear interpolation , political science , law , bicubic interpolation , biology
In this article, we establish a norm equivalence satisfied by general monotone sequences. This is then used to show norm equivalences involving such sequences and trigonometric series with the elements of these sequences as coefficients. These equivalences generalize earlier results of Hardy and Littlewood, Askey and Wainger, Sagher, and Tikhonov.