Smita Sonker
Department of Mathematics, National Institute of Technology, Kurukshetra-136119, India.

Alka Munjal
Department of Mathematics, National Institute of Technology, Kurukshetra-136119, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.3-050

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Abstract

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.

Keywords- Absolute summability, Cesaro summability, Infinite series, Quasi-f-power increasing sequence.

Citation

Sonker, S., & Munjal, A. (2019). Sufficient Conditions for Absolute Cesàro Summable Factor. International Journal of Mathematical, Engineering and Management Sciences, 4(3), 627-634. https://dx.doi.org/10.33889/IJMEMS.2019.4.3-050.