TY  - JOUR
TT  - FOURIER SERİLERİNİN EŞLENİK SERİLERİNİN MUTLAK GENELLEŞTİRİLMİŞ NÖRLUND TOPLANABİLMESİ ÜZERİNE - ON ABSOLUTE GENERALIZED NORLUND SUMMABILITY OF THE CONJUGATE SERIES OF FOURIER SERIES
AU  - Sönmezoğlu, Abdullah
PY  - 2015
DA  - January
JF  - Celal Bayar University Journal of Science
JO  - CBUJOS
PB  - Manisa Celal Bayar Üniversitesi
WT  - DergiPark
SN  - 1305-130X
SP  - 25
EP  - 30
VL  - 9
IS  - 2
LA  - TR
KW  - Convergence
KW  - Fourier series
KW  - Conjugate series
KW  - Absolute generalized Nörlund summability
N2  - FOURIER SERİLERİNİN EŞLENİK SERİLERİNİN MUTLAK GENELLEŞTİRİLMİŞ NÖRLUND TOPLANABİLMESİ ÜZERİNEBu 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 SERIESIn 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 .
CR  - 1. Nörlund. N.E.; Sur une application des fonctions permutables. Lunds Universitets Arsskrift 16, (1919).
CR  - 2. Mcfadden, L., Absolute Nörlund summability.Duke Math.J , 9, 168-207,(1942).
CR  - 3. Hardy. G.H. ;Divergent series , Oxford, (1949).
CR  - 4 Pati, T., On the absolute Nörlund summability of a Fourier series. London Math. Soc, 34, 153-160, (1959).
CR  - 5 Pati, T., Addendum: On the absolute Nörlund summability of a Fourier series. J.London Math. Soc, 37, 256, (1962).
CR  - 6. Pati, T., On the absolute summability of the Conjugate series of a Fourier series by Nörlund means. J. London Math. Soc(2), 38, 204-214, (1963).
CR  - 7. Dikshit, H. P., On the absolute of a Fourier series at a point. Proc. Cambridge Philos Soc, 65, 495-505, (1969).
CR  - 8. Dikshit, H. P., Absolute summability of the Conjugate series of a Fourier series by Nörlund means. Math. Ann, 184, 106-112, (1970).
CR  - 9. Pati, T., On the absolute summability of a Fourier series by Nörlund means. Math.Z, 88,244-249, (1965).
CR  - 10. Rhoades,B. E;Savaş Ekrem.; On absolute Nörlund summability of Fourier series.Tamkang J.Math.33(4), 359-364-, (2002).
CR  - 11.J.R.Nurcombe.; Limitation and ineffectivens theorems for absolute and strong generalised Nörlund summability.Analysis, 9, 357-365, (1989).
CR  - 12. E. C. Titchmarsh.; Theory of Functions., Oxford University Pres, (1949).
UR  - https://dergipark.org.tr/tr/pub/cbayarfbe/issue//53424
L1  - https://dergipark.org.tr/tr/download/article-file/45691
ER  -