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In this paper we have proved two theorems concerning an inclusion between two absolute summability methods by using any absolute summability factor.

In this paper, a theorem of Bor and Özarslan [3] dealing with | C,α; β |k summability factors has been generalized for | C,α, γ ; β |k summability methods.

- H. S. Özarslan
- 2002

A sequence (bn) of positive numbers is said to be δ -quasi-monotone, if bn → 0, bn > 0 ultimately and ∆bn ≥ −δn, where (δn) is a sequence of positive numbers (see [3]). Let (φn) be a sequence of complex numbers and let ∑an be a given infinite series with partial sums (sn). We denote by σα n and tα n the nth Cesàro means of order α , with α > −1, of the… (More)

We consider weighted graphs, where the edge weights are positive definite matrices. The eigenvalues of a graph are the eigenvalues of its adjacency matrix. We obtain another upper bound which is sharp on the spectral radius of the adjacency matrix and compare with some known upper bounds with the help of some examples of graphs. We also characterize graphs… (More)

- H. S. Özarslan, Bağdagül Kartal
- Journal of inequalities and applications
- 2017

In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.

In the present paper we have proved a more general theorem dealing with jA; p n j k summability by using almost increasing sequence. This theorem also includes several known results.

We have proved a theorem on |T, p n | k summability methods. This theorem includes a known theorem.

- H. S. Özarslan
- 2000

We prove a general theorem on |N̄,pn;δ|k summability factors, which generalizes a theorem of Bor (1994) on |N̄,pn|k summability factors, under weaker conditions by using an almost increasing sequence. 2000 Mathematics Subject Classification. Primary 40D15, 40F05, 40G99.

- H. S. Özarslan, T. Ari
- Appl. Math. Lett.
- 2011

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