Sums of finite products of Bernoulli functions
Abstract In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-08-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1309-9 |
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Article |
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doaj-a3ce842bc92a45d68aa405b70e962eb72020-11-24T23:59:40ZengSpringerOpenAdvances in Difference Equations1687-18472017-08-012017111510.1186/s13662-017-1309-9Sums of finite products of Bernoulli functionsRavi P Agarwal0Dae San Kim1Taekyun Kim2Jongkyum Kwon3Department of Mathematics, Texas A&M University - KingsvilleDepartment of Mathematics, Sogang UniversityDepartment of Mathematics, Kwangwoon UniversityDepartment of Mathematics Education and RINS, Gyeongsang National UniversityAbstract In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions.http://link.springer.com/article/10.1186/s13662-017-1309-9Fourier seriessums of finite products of Bernoulli functions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ravi P Agarwal Dae San Kim Taekyun Kim Jongkyum Kwon |
| spellingShingle |
Ravi P Agarwal Dae San Kim Taekyun Kim Jongkyum Kwon Sums of finite products of Bernoulli functions Advances in Difference Equations Fourier series sums of finite products of Bernoulli functions |
| author_facet |
Ravi P Agarwal Dae San Kim Taekyun Kim Jongkyum Kwon |
| author_sort |
Ravi P Agarwal |
| title |
Sums of finite products of Bernoulli functions |
| title_short |
Sums of finite products of Bernoulli functions |
| title_full |
Sums of finite products of Bernoulli functions |
| title_fullStr |
Sums of finite products of Bernoulli functions |
| title_full_unstemmed |
Sums of finite products of Bernoulli functions |
| title_sort |
sums of finite products of bernoulli functions |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2017-08-01 |
| description |
Abstract In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions. In addition, we express each of them in terms of Bernoulli functions. |
| topic |
Fourier series sums of finite products of Bernoulli functions |
| url |
http://link.springer.com/article/10.1186/s13662-017-1309-9 |
| work_keys_str_mv |
AT ravipagarwal sumsoffiniteproductsofbernoullifunctions AT daesankim sumsoffiniteproductsofbernoullifunctions AT taekyunkim sumsoffiniteproductsofbernoullifunctions AT jongkyumkwon sumsoffiniteproductsofbernoullifunctions |
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1725446843224031232 |