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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We prove an equivalence between the mixed modulus of continuity and K -functional and realization functional.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:Main properties of the mixed modulus of continuity in the Lebesgue spaces with Muckenhoupt weights are investigated.
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Temel Bulgular & Veri:We use the mixed modulus of continuity to obtain Potapov type direct and inverse estimates of angular trigonometric approximation of functions in these spaces.
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Sonuç & Katkı:We prove an equivalence between the mixed modulus of continuity and K -functional and realization functional.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Direct theorem · inverse theorem · Muckenhoupt weights
Abstract
Main properties of the mixed modulus of continuity in the Lebesgue spaces with Muckenhoupt weights are investigated. We use the mixed modulus of continuity to obtain Potapov type direct and inverse estimates of angular trigonometric approximation of functions in these spaces. We prove an equivalence between the mixed modulus of continuity and K -functional and realization functional.
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Bu Makaleye Atıf Yap
AKGÜN, R. (2022). Mixed modulus of continuity in the Lebesgue spaces with Muckenhoupt weights and their properties. Turkish Journal of Mathematics, Cilt: 40 - Sayı: 6, 1169–1192. https://ajindex.com/articles/608198