Sufficient Conditions for Absolute Cesàro Summable Factor
Quasi-f-power increasing sequence has been used for infinite series to establish a theorem on a minimal set of sufficient conditions for absolute Cesàro φ-|〖C,α;δ;l|〗_k summable factor. Further, a set of new and well-known arbitrary results have been obtained by using the main theorem. The presen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Ram Arti Publishers
2019-06-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
| Subjects: | |
| Online Access: | https://www.ijmems.in/assets/50-ijmems-aaa-02-vol.-4%2c-no.-3%2c-627%E2%80%93634%2c-2019.pdf |
| Summary: | Quasi-f-power increasing sequence has been used for infinite series to establish a theorem on a minimal set of sufficient conditions for absolute Cesàro φ-|〖C,α;δ;l|〗_k summable factor. Further, a set of new and well-known arbitrary results have been obtained by using the main theorem. The presented main result has been validated by the previous result under suitable conditions. In this way, the Bounded Input Bounded Output (BIBO) stability of impulse response has been improved by finding a minimal set of sufficient conditions for absolute summability because absolute summable is the necessary and sufficient condition for BIBO stability. |
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| ISSN: | 2455-7749 2455-7749 |