Dergiler / Journal of New Theory / 2022 / Sayı: 41

Ces\`aro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

Sayfa
94–99
Yayın Tarihi
2022-12-31
DOI
—
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This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.

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Amaç & Hipotez:This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
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Temel Bulgular & Veri:This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
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Sonuç & Katkı:This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$\delta$-quasi-monotone sequence · almost increasing sequence · summability factors

Abstract

This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.

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Bu Makaleye Atıf Yap

KARTAL, B. (2022). Ces\`aro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. Journal of New Theory, Sayı: 41, 94–99. https://ajindex.com/articles/860583

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  1. H. Bor, H. S. Özarslan, A Note on Absolute Summability Factors, Advanced Studies in Contemporary Mathematics 6(1) (2003) 1{--}11. H. S. Özarslan, A Note on Absolute Summability Factors, Proceedings of the Indian Academy of Sciences 113(2) (2003) 165{--}169. H. Bor, H. S. Özarslan, On the Quasi-Monotone and Almost Increasing Sequences, Journal of Mathematical Inequalities 1(4) (2007) 529{--}534. H. Bor, H. S. Özarslan, A New Application of Quasi-Monotone and Almost Increasing Sequences, Journal of Computational Analysis and Applications 13(5) (2011) 886{--}891. H. S. Özarslan, Absolute Cesàro Summability Factors, Journal of Concrete and Applicable Mathematics 5(3) (2007) 231{--}236. H. S. Özarslan, On Absolute Cesàro Summability Factors of Infinite Series, Communications in Mathematical Analysis 3(1) (2007) 53{--}56. H. S. Özarslan, A Note on Generalized Absolute Ces\`aro Summability, Journal of Computational Analysis and Applications 12(3) (2010) 581{--}585. H. S. Özarslan, A Note on Generalized Absolute Cesàro Summability, Advances in Pure and Applied Mathematics 5(1) (2014) 1{--}3. H. S. Özarslan, On the Generalized Absolute Cesàro Summability Methods, Russian Mathematics 65 (2021) 29{--}33. H. Bor, A New Factor Theorem on Generalized Absolute Cesàro Summability, Quaestiones Mathematicae 44(5) (2021) 653{--}658. B. Kartal, An Extension of a Theorem on Cesàro Summability, Numerical Functional Analysis and Optimization 42(4) (2021) 474{--}479. B. Kartal, New Results for Almost Increasing Sequences, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica 18 (2019) 85{--}91. B. Kartal, A Theorem on Absolute Summability of Infinite Series, Cumhuriyet Science Journal 40(3) (2019) 563{--}569. H. Bor, R. P. Agarwal, A New Application of Almost Increasing Sequences to Factored Infinite Series, Analysis and Mathematical Physics 10 (2020) Article Number 26. B. Kartal, An Application of Almost Increasing Sequences, Russian Mathematics 65 (2021) 14{--}17. H. Bor, H. M. Srivastava, W.T. Sulaiman, A New Application of Certain Generalized Power Increasing Sequences, Filomat 26(4) (2012) 871{--}879. H. S. Özarslan, On a New Application of Quasi Power Increasing Sequences, Journal of Applied Mathematics and Informatics (39)3-4 (2021) 321{--}326. H. S. Özarslan, M.Ö. Şakar, A New Application of $(\phi, \delta)$ Monotone Sequences, Russian Mathematics 3 (2022) 38{--}43. E. Cesàro, Sur la Multiplication des S\'{e}ries, Bulletin des Sciences Mathematiques 14 (1890)