In this paper, a result on absolute Riesz summability for an infinite series by Bor has been extended using more variables. Further, we develop some well known results from our main result.

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In this paper, we have proved a general theorem dealing with absolute Riesz |Ñ, P^?,?_N;? ; ?|_K summablility by applying an almost increasing sequence. Also, some known results are also deduced.

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 ph-|C, a, b; d; 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.

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