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Some inclusion relations related to spaces 𝑆̂_𝜆 and [𝑉̂,𝜆]

2021
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Advisor: Prof. Dr. Çiğdem Bektaş

Abstract (EN)

In this master's thesis, starting from the concept of density in natural number sequences, the concept of statistical convergence of sequences of complex numbers was examined, than the relationship between statistical convergence and summability theory was briefly mentioned. After then, the definitions of (𝑉,𝜆)−summability, 𝜆−density and 𝜆−statistical convergence are given. Then, after defining the almost 𝜆−statistically convergent, strong almost (𝑉,𝜆)−summable and strong Cesàro summable sequence spaces, some inclusion relations between these sequence spaces for various sequences 𝜆,𝜇∈⋀ are examined.

Author

Tuba Dinç

Institution

How to Cite

Tuba Dinç (Master Thesis). Some inclusion relations related to spaces 𝑆̂_𝜆 and [𝑉̂,𝜆], 2021, Fırat University.

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