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Journals / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 8 Issue: 1

ON p; q -ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES

M. Mursaleen(Department of Mathematics, Aligarh Muslim University, Aligarh, UP-202002, India.)
T. Khan(Department of Mathematics, Jamia Millia Islamia, New Delhi-110025, India.)
Pages
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Publication Date
2018-06-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Also, we study the Voronovskaja type estimate for these operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we introduce the p; q -analogue of the Stancu-Beta operators and call them as the p; q -Stancu-Beta operators.
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Key Findings & Data:We study approximation properties of these operators based on the Korovkin's approximation theorem and also study some direct theorems.
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Conclusion & Impact:Also, we study the Voronovskaja type estimate for these operators.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:q -calculus · Stancu-Beta operators · modulus of continuity

Abstract

In this paper we introduce the p; q -analogue of the Stancu-Beta operators and call them as the p; q -Stancu-Beta operators. We study approximation properties of these operators based on the Korovkin's approximation theorem and also study some direct theorems. Also, we study the Voronovskaja type estimate for these operators.

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Mursaleen, M., Khan, T. (2018). ON p; q -ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES. TWMS Journal of Applied and Engineering Mathematics, Volume: 8 Issue: 1. https://ajindex.com/articles/1604530

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