Absolute summability factor \varphi-|C,1;\delta|_k of infinite series

Sonker, Smita; Munjal, Alka

doi:10.12988/ijma.2016.6690

Cited by 14 publications

(4 citation statements)

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“…Özarslan [11,13] has proved some results on absolute summability factors and on generalized Cesàro summability. Sonker and Munjal [14,15] determined theorems on generalized absolute summability with the sufficient conditions for infinite series. Also Mishra et.…”

Section: An Infinite Seriesmentioning

confidence: 99%

Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series

Sonker¹,

Jindal²,

Mishra³

2021

Mathematica Moravica

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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 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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Section: An Infinite Seriesmentioning

confidence: 99%

Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series

Sonker¹,

Jindal²,

Mishra³

2021

Mathematica Moravica

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“…Sonker et al [11] worked on absolute summability factors for n-tupled trianle matrices. Also, Sonker and Munjal [12]- [16] gave various useful results on summabilities. In this paper, we are going to prove the more generalized version of the result given by Bor [6], under the weaker conditions.…”

Section: Introductionmentioning

confidence: 99%

Almost Inceasing Sequence for Absolute Riesz Summable Factor

Sonker

Jindal

Mishra

2021

Nepali Math. Sci. Rep.

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“…Recently, Sonker and Munjal [18][19][20][21][22][23][24][25] gave a number of theorems exploring summability of the Orthogonal, Fourier series and infinite series. In the present result, summability method has been used for sharper estimations.…”

Section: Introductionmentioning

confidence: 99%