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Abstract

In this paper , a theorem about N,p,q n nk summability of the conjugate series of Fourier

Keywords

• Convergence,Fourier series, Conjugate series , Absolute generalized Nörlund summability

FOURIER SERİLERİNİN EŞLENİK SERİLERİNİN MUTLAK GENELLEŞTİRİLMİŞ NÖRLUND TOPLANABİLMESİ ÜZERİNE - ON ABSOLUTE GENERALIZED NORLUND SUMMABILITY OF THE CONJUGATE SERIES OF FOURIER SERIES

Abstract

FOURIER SERİLERİNİN EŞLENİK SERİLERİNİN MUTLAK GENELLEŞTİRİLMİŞ NÖRLUND TOPLANABİLMESİ ÜZERİNE

Bu çalışmada, olmak üzere  ve  pozitif dizileri için  aralığında Lebesgue anlamında integrallenebilen  periyotlu periyodik  fonksiyonunun Fourier serisinin eşlenik serisinin   toplanabilmesi hakkında bir teorem ispatlanmıştır.

ON ABSOLUTE GENERALIZED NORLUND SUMMABILITY OF THE CONJUGATE SERIES OF FOURIER SERIES

 

In this paper , a theorem about k n n N, p ,q summability of the conjugate series of Fourier series of periodic f function which has 2π period and integrable in the mean of Lebesgue in the interval (−π ,π ) for positive sequences ( ) n p and ( ) n q , is proved where k ≥ 2 .

 

 

Keywords

• Yakınsaklık, Fourier serileri, Eşlenik seriler, Mutlak genelleştirilmiş Nörlund

References

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