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Journals / Maltepe Journal of Mathematics / 2025 / Volume: 7 Issue: 2

ANALYSIS OF CONICS UNDER KANTOROVICH OPERATORS OF TWO VARIABLE

Esraa Dakak Elkahwa0009-0007-8587-0388
Tuncay Tunç(MERSIN UNIVERSITY)0000-0002-3061-7197
Pages
—
Publication Date
2025-10-30
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AI Summary & Key Takeaways

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

Furthermore, all the findings are supported by numerous graphical examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study examines some shape-preserving properties of two-variable Kantorovich polynomials.
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Key Findings & Data:We examine which types of conic equations transform into conic equations under two types of two-variable Kantorovich polynomials, single-index and double-index, and if so, which conic equations they transform into.
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Conclusion & Impact:Furthermore, all the findings are supported by numerous graphical examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Conic Equations · Positive and Linear Operator · Shape Preserving Approximation

Abstract

This study examines some shape-preserving properties of two-variable Kantorovich polynomials. We examine which types of conic equations transform into conic equations under two types of two-variable Kantorovich polynomials, single-index and double-index, and if so, which conic equations they transform into. While it is observed that conic equations transform into the same type of conic equations under the single-index two-variable Kantorovich polynomial, they are shown to transform into different types under the double-index two-variable Kantorovich polynomial, for example, a circle can transform into an ellipse or parabola under certain conditions. Furthermore, all the findings are supported by numerous graphical examples.

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Cite This Article

Elkahwa, E. D., Tunç, T. (2025). ANALYSIS OF CONICS UNDER KANTOROVICH OPERATORS OF TWO VARIABLE. Maltepe Journal of Mathematics, Volume: 7 Issue: 2. https://doi.org/10.47087/mjm.1696453

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