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Journals / Mathematical Sciences and Applications E-Notes / 2022 / Cilt: 10 - Sayı: 2

Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method

Halime TAŞER
Tuğba YURDAKADİM
Pages
72–81
Publication Date
2022-06-01
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is noteworthy to mention that statistical convergence and statistical convergence with respect to power series method are incompatible.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Many results which are obtained or unable to obtained by classical calculus have also been studied by q-calculus.
📊
Key Findings & Data:The q-analog of Chlodowsky operators has been introduced and the approximation properties of these operators have been studied in [12].
💡
Conclusion & Impact:It is noteworthy to mention that statistical convergence and statistical convergence with respect to power series method are incompatible.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:q-calculus · Chlodowsky operators · approximation theory

Abstract

Many results which are obtained or unable to obtained by classical calculus have also been studied by q-calculus. It is effective to use q-calculus since it acts as a bridge between mathematics and physics. The q-analog of Chlodowsky operators has been introduced and the approximation properties of these operators have been studied in [12]. Then in [23], the q-analog of Stancu-Chlodowsky operators has been introduced and some approximation results of these operators have been studied via A-statistical convergence which is a more general setting.In this paper, we present the approximation properties of q-Chlodowsky operators via statistical convergence with respect to power series method. It is noteworthy to mention that statistical convergence and statistical convergence with respect to power series method are incompatible.

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Cite This Article

TAŞER, H., YURDAKADİM, T. (2022). Approximation for $q$-Chlodowsky Operators via Statistical Convergence with Respect to Power Series Method. Mathematical Sciences and Applications E-Notes, Cilt: 10 - Sayı: 2, 72–81. https://ajindex.com/articles/690659

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