On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$
On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$
The aim of this paper is to provide a new approach to some well known summability methods. We first define asymptotically ${\rm I}$-statistical equivalent functions of order $\alpha $, asymptotically ${\rm I} _{\theta} $-statistical equivalent functions of order $\alpha$ and strongly ${\rm I}$-lacunary equivalent functions of order $\alpha$ by taking two nonnegative real-valued Lebesgue measurable functions $x(t)$ and $y(t)$ in the interval $(1,\infty)$ instead of sequences and later we investigate their relationship.
Keywords:
Lacunary statistical convergence, I-lacunary statistical equivalence of order α, asymptotically equivalent functions ideal, filter,
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- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2013
- Yayıncı: Mehmet Zeki SARIKAYA
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