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Journals / Constructive Mathematical Analysis / 2026 / Volume: 4 Issue: 2

Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces

Laura Angelonı(University of Perugia)0000-0002-2214-6751
Nursel Çetin(Ankara University)0000-0003-3771-6523
Danilo Costarellı(University of Perugia)0000-0001-8834-8877
Anna Rita Sambucını(University of Perugia)0000-0003-0161-8729
Gianluca Vıntı(University of Perugia)0000-0002-9875-2790
Pages
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Publication Date
2021-06-01
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AI Summary & Key Takeaways

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

In the particular instance of L^p-spaces, using a direct approach, we obtain a sharper estimate than that one that can be deduced from the general case.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish a quantitative estimate for multivariate sampling Kantorovich operators by means of the modulus of continuity in the general setting of Orlicz spaces.
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Key Findings & Data:As a consequence, the qualitative order of convergence can be obtained, in case of functions belonging to suitable Lipschitz classes.
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Conclusion & Impact:In the particular instance of L^p-spaces, using a direct approach, we obtain a sharper estimate than that one that can be deduced from the general case.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Multivariate sampling Kantorovich operators · Orlicz spaces · modulus of smoothness

Abstract

In this paper, we establish a quantitative estimate for multivariate sampling Kantorovich operators by means of the modulus of continuity in the general setting of Orlicz spaces. As a consequence, the qualitative order of convergence can be obtained, in case of functions belonging to suitable Lipschitz classes. In the particular instance of L^p-spaces, using a direct approach, we obtain a sharper estimate than that one that can be deduced from the general case.

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Cite This Article

Angelonı, L., Çetin, N., Costarellı, D., Sambucını, A. R., Vıntı, G. (2021). Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces. Constructive Mathematical Analysis, Volume: 4 Issue: 2. https://doi.org/10.33205/cma.876890

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