In this study, it is accepted that (φ )t ∈ BV( 0,π) and we prove a theorem about which k N, p,q uniformly summability of Fourier series of a periodic f function having 2π period where (pn ) and (qn ) are monotonic positive sequences by means of Lebesgue integrable in (−π ,π ) for 0 < k < 1.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, it is accepted that (φ )t ∈ BV( 0,π) and we prove a theorem about which k N, p,q uniformly summability of Fourier series of a periodic f function having 2π period where (pn ) and (qn ) are monotonic positive sequences by means of Lebesgue integrable in (−π ,π ) for 0 < k < 1.
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Key Findings & Data:In this study, it is accepted that (φ )t ∈ BV( 0,π) and we prove a theorem about which k N, p,q uniformly summability of Fourier series of a periodic f function having 2π period where (pn ) and (qn ) are monotonic positive sequences by means of Lebesgue integrable in (−π ,π ) for 0 < k < 1.
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Conclusion & Impact:In this study, it is accepted that (φ )t ∈ BV( 0,π) and we prove a theorem about which k N, p,q uniformly summability of Fourier series of a periodic f function having 2π period where (pn ) and (qn ) are monotonic positive sequences by means of Lebesgue integrable in (−π ,π ) for 0 < k < 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fourier serisi · Mutlak genelleştirilmiş Nörlund toplanabilme · Fourier series
Abstract
In this study, it is accepted that (φ )t ∈ BV( 0,π) and we prove a theorem about which k N, p,q uniformly summability of Fourier series of a periodic f function having 2π period where (pn ) and (qn ) are monotonic positive sequences by means of Lebesgue integrable in (−π ,π ) for 0 < k < 1.
Özet
Bu çalışmada, (φ )t ∈ BV( 0,π) olmak üzere monotonik pozitif ( pn) ve (qn) dizileri için (−π ,π ) aralığında Lebesgue anlamında integrallenebilen 2π periyotlu herhangi bir f fonksiyonunun Fourier serisinin 0 < k < 1 olmak üzere düzgün olarak k N, p,q toplanabilmesi ile ilgili bir teorem ispatlandı.
Sönmezoğlu, A. (2007). ABSOLUTE GENERALIZED NÖRLUND SUMMABILITY OF THE FOURİER SERIES. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 23 Sayı: 1, 208–214. https://ajindex.com/articles/928268