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Journals / Gazi University Journal of Science / 2026 / Volume: 39 Issue: 3

Yet another Kantorovich variant of Lupaş-Jain operators

Lupaş-Jain operatörlerinin bir başka Kantorovich genelleştirmesi

Murat Bodur(KONYA TECHNICAL UNIVERSITY, FACULTY OF ENGINEERING AND NATURAL SCIENCES, DEPARTMENT OF BASIC ENGINEERING SCIENCES)0000-0002-9195-9043
Pages
—
Publication Date
2026-09-01
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AI Summary & Key Takeaways

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

To conclude, numerical examples are presented to substantiate the theoretical findings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities.
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Key Findings & Data:The investigation begins by establishing weighted uniform approximation properties for the newly defined operators.
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Conclusion & Impact:To conclude, numerical examples are presented to substantiate the theoretical findings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lupaş-Jain operators · Kantorovich operators · Weighted approximation

Abstract

This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities. The investigation begins by establishing weighted uniform approximation properties for the newly defined operators. Following this, a rigorous quantitative estimate is derived. Then, we examine the order of approximation by employing a modulus of continuity, the Lipschitz class and the Lipschitz-type maximal function. To conclude, numerical examples are presented to substantiate the theoretical findings.

Özet

Bu makale, Lupaş-Jain operatörlerinin yaklaşım özelliklerini geliştirmek amacıyla, Kantorovich tipi yeni bir genelleştirme önermektedir. Araştırma, yeni tanımlanan operatörler için ağırlıklı düzgün yaklaşım özelliklerinin belirlenmesiyle başlamaktadır. Ardından, bir nicel tahmin türetilmektedir. Daha sonra, süreklilik modülü, Lipschitz sınıfı ve Lipschitz tipi maksimum fonksiyon kullanılarak yaklaşımın derecesi incelenmektedir. Sonuç olarak, teorik bulguları doğrulamak için sayısal örnekler sunulmaktadır.

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Cite This Article

Bodur, M. (2026). Yet another Kantorovich variant of Lupaş-Jain operators. Gazi University Journal of Science, Volume: 39 Issue: 3. https://doi.org/10.35378/gujs.1888186

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