Some Difference Inequalities for Iterated Sums with Applications
The main objective of this paper is to establish two new nonlinear sum-difference inequalities with multiple iterated sums. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. These new inequalit...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/804152 |
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| _version_ | 1832551631550414848 |
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| author | Wu-Sheng Wang Shanhe Wu |
| author_facet | Wu-Sheng Wang Shanhe Wu |
| author_sort | Wu-Sheng Wang |
| collection | DOAJ |
| description | The main objective of this paper is to establish two new nonlinear sum-difference
inequalities with multiple iterated sums. Under several practical assumptions, the inequalities
are solved through rigorous analysis, and explicit bounds for the unknown
functions are given clearly. These new inequalities can be used as handy tools in the
study of the estimation of solutions of difference equations. |
| format | Article |
| id | doaj-art-cd7e89174ad640c5a3b3aaf30432fb7b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cd7e89174ad640c5a3b3aaf30432fb7b2025-02-03T06:01:06ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/804152804152Some Difference Inequalities for Iterated Sums with ApplicationsWu-Sheng Wang0Shanhe Wu1School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, ChinaDepartment of Mathematics and Computer Science, Longyan University, Longyan, Fujian 364012, ChinaThe main objective of this paper is to establish two new nonlinear sum-difference inequalities with multiple iterated sums. Under several practical assumptions, the inequalities are solved through rigorous analysis, and explicit bounds for the unknown functions are given clearly. These new inequalities can be used as handy tools in the study of the estimation of solutions of difference equations.http://dx.doi.org/10.1155/2013/804152 |
| spellingShingle | Wu-Sheng Wang Shanhe Wu Some Difference Inequalities for Iterated Sums with Applications Abstract and Applied Analysis |
| title | Some Difference Inequalities for Iterated Sums with Applications |
| title_full | Some Difference Inequalities for Iterated Sums with Applications |
| title_fullStr | Some Difference Inequalities for Iterated Sums with Applications |
| title_full_unstemmed | Some Difference Inequalities for Iterated Sums with Applications |
| title_short | Some Difference Inequalities for Iterated Sums with Applications |
| title_sort | some difference inequalities for iterated sums with applications |
| url | http://dx.doi.org/10.1155/2013/804152 |
| work_keys_str_mv | AT wushengwang somedifferenceinequalitiesforiteratedsumswithapplications AT shanhewu somedifferenceinequalitiesforiteratedsumswithapplications |