Application of quasi-$f$-power increasing sequence in absolute $\phi-|C,\alpha, \beta;\delta;l|$ of infinite series
Mathematica Moravica, Tome 25 (2021) no. 2.

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An increasing quasi-$f$-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sufficient for an infinite series to be generalized $\phi-|C,\alpha, \beta;\delta;l|_k$ summable. Further, a set of new and well-known arbitrary results have been obtained by using the main theorem. Considering suitable conditions a previous result has been obtained, which validates the current findings. In this way, Bounded Input Bounded Output(BIBO) stability of impulse has been improved by finding a minimal set of sufficient condition for absolute summability because absolute summable is the necessary and sufficient conditions for BIBO stability.
Mots-clés : Absolute summability, infinite series, quasi-$f$-power increasing sequence, generalized Cesàro summability 
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Smita Sonker; Rozy Jindal; Lakshmi Narayan Mishra. Application of quasi-$f$-power increasing sequence in absolute $\phi-|C,\alpha, \beta;\delta;l|$ of infinite series. Mathematica Moravica, Tome 25 (2021) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2021_25_2_a0/