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ON A NEW APPLICATION OF QUASI POWER INCREASING SEQUENCES
OZARSLAN, HIKMET SEYHAN The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.3
In the present paper, a theorem on 𝜑 - | C, 𝛼; 𝛿 |<sub>k</sub> summability of an infinite series is obtained by using a quasi 𝛽-power increasing sequence.
Applications of quasi power increasing sequences to infinite series
Hikmet Seyhan Ozarslan,Mehmet Oner Sakar,Bagdagul Kartal 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.1
In the present paper, two theorems on absolute matrix summability of infinite series are generalized for the $\varphi-|A,p_n|_k$ summability method using quasi $\beta$-power increasing sequences instead of almost \linebreak increasing sequences.
An Application of Absolute Matrix Summability using Almost Increasing and δ-quasi-monotone Sequences
Ozarslan, Hikmet Seyhan Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.2
In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.