Some Tauberian Theorems under Triple Statistically Nörlund-Cesáro Summability Method

In this paper, we extend the notion presented by Braha (2020) in a higher dimension, we introduce the notion of Np,qn,m,gCn,m,g1,1,1-statistically convergence and show necessity and sufficiency conditions under which the existence of the limit st-limn,m,g→∞xn,m,g=L follows from that st-limn,m,g→∞Np,...

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Autor principal: Granados, Carlos
Formato: Capítulo de libro
Lenguaje:inglés
Publicado: IntechOpen 2022
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Acceso en línea:https://www.intechopen.com/chapters/82947
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Descripción
Sumario:In this paper, we extend the notion presented by Braha (2020) in a higher dimension, we introduce the notion of Np,qn,m,gCn,m,g1,1,1-statistically convergence and show necessity and sufficiency conditions under which the existence of the limit st-limn,m,g→∞xn,m,g=L follows from that st-limn,m,g→∞Np,qn,m,gCn,m,g1,1,1=L. These conditions are one-sided or two-sided if xn,m,g is a sequence of real or complex numbers, respectively.
ISBN:978-1-80356-332-9
DOI:10.5772/intechopen.106141