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On Factors Involving Almost Increasing Sequence
Smita Sonker,Rozy Jindal 한국전산응용수학회 2021 Journal of Applied and Pure Mathematics Vol.3 No.3
In this paper, absolute Riesz summability |\overline{N},p_n ; \delta|_q for an infinite series has been introduced and a generalized theorem has been determined for |\overline{N},p_n ; \delta|_q summability under the poor conditions for \sum a_n\lambda_n. Also, from our main result, we develop some new and well-known arbitrary results. These results are stated in the form of corollaries and can be proved by using appropriate conditions. Summability techniques are used to reduce inaccuracy. By using the appropriate conditions previous results can be easily obtained. Like this, the Bounded Input Bounded Output (BIBO) stoutness of drive is enhanced by absolute summability because it is a necessary and sufficient condition for BIBO stability.
Application of quasi-f-power increasing sequence in vert C, alpha,gamma;delta vert_k summability
Smita Sonker,Alka Munjal 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.1
An increasing quasi-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sucient for an innite series to be generalized absolute jC; ; ; jk 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 ndings. In this way, the Bounded Input Bounded Output (BIBO) stability of impulse response has been improved by absolute summability because being absolute summable is the necessary and sucient condition for BIBO stability. Also, summability plays an important role in signal processing as a digital lter in nite impulse response (FIR).
On Generalized Absolute Riesz Summability Factor of Infinite Series
Sonker, Smita,Munjal, Alka Department of Mathematics 2018 Kyungpook mathematical journal Vol.58 No.1
The objective of the present manuscript is to obtain a moderated theorem proceeding with absolute Riesz summability ${\mid}{\bar{N}},p_n,{\gamma};{\delta}{\mid}_k$ by applying almost increasing sequence for infinite series. Also, a set of reduced and well-known factor theorems have been obtained under suitable conditions.