Dergiler / Hacettepe Journal of Mathematics and Statistics / 2016 / Volume: 45 Issue: 6

Kantorovich-type operators preserving affine functions

Sayfa
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Yayın Tarihi
2016-12-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Special cases are presented.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Special cases are presented.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Agratini, O. (2016). Kantorovich-type operators preserving affine functions. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 6. https://ajindex.com/articles/1403071

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