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.
📌 3 Key Takeaways
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Objective & Hypothesis:The aim of this paper is to provide a new approach to some well known summability methods.
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Key Findings & Data:The aim of this paper is to provide a new approach to some well known summability methods.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lacunary statistical convergence · I-lacunary statistical equivalence of order α · asymptotically equivalent functions
Abstract
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.
Savaş, R., Sezer, S. A. (2019). On Asymptotically I-lacunary Statistical Equivalent Functions of Order $\alpha$. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521724
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