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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Special cases are presented.
📌 3 Key Takeaways
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Objective & Hypothesis:Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype which enjoy by the same property.
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Key Findings & Data:We focus to show that the error of approximation can be smaller than in classical Kantorovich construction on some subintervals of its domain.
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Conclusion & Impact:Special cases are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Szász-Mirakjan operator · Baskakov operator · Stancu operator
Abstract
Starting from positive linear operators which have the capability to reproduce affine functions, we design integral operators of Kantorovichtype which enjoy by the same property. We focus to show that the error of approximation can be smaller than in classical Kantorovich construction on some subintervals of its domain. Special cases are presented.
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Cite This Article
AGRATINI, O. (2022). Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 6, 1657–1663. https://ajindex.com/articles/530040