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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.
📌 3 Key Takeaways
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Objective & Hypothesis:In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.
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Key Findings & Data:In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.
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Conclusion & Impact:In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matrix transforms · trigonometric approximation · Orlicz space
Abstract
In this work the approximation problems of the functions by matrix transforms in weighted Orlicz spaces with Muckenhoupt weights are studied.We obtain the degree of approximation of functions belonging to Lipschitz class Lip(α,M,ω) through matrix transforms , and Nörlund means Nn(x,f) of their trigonometric Fourier series.
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Cite This Article
JAFAROV, S. Z. (2020). Approximation by matrix transforms in weighted Orlicz spaces. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 1, 179–193. https://ajindex.com/articles/193218