• Kyungpook Mathematical Journal
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• v.59 no.2
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• pp.233-240
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• 2019

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.

• Journal of applied mathematics & informatics
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• v.40 no.1_2
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• pp.283-288
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• 2022

In this paper we characterize the sets of summability factors (|C, 0|_k, |R, p_n|_s) and (|R, p_n|_k, |C, 0|_s), 1 < k ≤ s < ∞, which also extends some known results.

• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.807-811
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• 2022

In this paper, we have proved a general theorem dealing with φ-| C, α, β |_κ summability factors of infinite series. Also, we have obtained some new and known results related to the different special summability methods.

• Kyungpook Mathematical Journal
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• v.58 no.1
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• pp.37-46
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• 2018

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.

• Journal of applied mathematics & informatics
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• v.38 no.5_6
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• pp.483-487
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• 2020

In this paper, we have proved a new theorem dealing with 𝜑 - |C, 𝛼|_k summability factors of infinite series under weaker conditions. Also, some new and known results are obtained.

• Kyungpook Mathematical Journal
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• v.52 no.3
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• pp.279-290
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• 2012

In this paper we present some results on absolute almost generalized N$\ddot{o}$rlund summability of orthogonal series. The most important corollaries of the main results also are deduced.

• Journal of applied mathematics & informatics
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• v.41 no.1
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• pp.1-9
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• 2023

In the present paper, two theorems on absolute matrix summability of infinite series are generalized for the 𝜑 - |A, p_n|_k summability method using quasi 𝛽-power increasing sequences instead of almost increasing sequences.

• Kyungpook Mathematical Journal
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• v.53 no.4
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• pp.507-513
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• 2013

A general theorem for absolute summability using quasi f-power increasing sequence is obtained. This result generalized and improved the result of Bor and $\ddot{O}$zarslan [2].

• Journal of applied mathematics & informatics
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• v.39 no.1_2
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• pp.117-124
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• 2021

We obtain a new matrix generalization result dealing with weighted mean summability of infinite series by using a new general class of power increasing sequences obtained by Sulaiman [9]. This theorem also includes some new and known results dealing with some basic summability methods.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.321-326
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• 2021

In the present paper, a theorem on 𝜑 - | C, 𝛼; 𝛿 |_k summability of an infinite series is obtained by using a quasi 𝛽-power increasing sequence.