Open AccessSufficient Conditions for Absolute Cesàro Summable Factor
Author(s) -
Smita Sonker,
Alka Munjal
Publication year - 2019
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 10
ISSN - 2455-7749
DOI - 10.33889/ijmems.2019.4.3-050
Subject(s) - bibo stability , mathematics , bounded function , impulse (physics) , set (abstract data type) , absolute (philosophy) , sequence (biology) , stability (learning theory) , mathematical analysis , computer science , physics , nonlinear system , chemistry , philosophy , programming language , biochemistry , epistemology , quantum mechanics , machine learning
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.