- Communications Faculty of Sciences University Ankara Series A2-A3 Physical and Engineering
- Volume:23
- On The Integral Modulus of Continuity of Fourier Series III
On The Integral Modulus of Continuity of Fourier Series III
Authors : Babu RAM
Pages : 0-0
Doi:10.1501/commua1-2_0000000018
View : 36 | Download : 7
Publication Date : 1974-01-01
Article Type : Research Paper
Abstract :1. Definitions and Notations: Let F insert ignore into journalissuearticles values(x); be a function with period 2TÜ in Lp insert ignore into journalissuearticles values(1< p < oo);. Then the Lp-modulus of continuity of order k > 1 of F is defined by « kp insert ignore into journalissuearticles values(8; F); = sup || Akt F insert ignore into journalissuearticles values(x); || Lp, 0 < |t |< 8 where k Atk F insert ignore into journalissuearticles values(x); = S insert ignore into journalissuearticles values(-l);k ~Y insert ignore into journalissuearticles values(k); F insert ignore into journalissuearticles values(x + yt); Y=° Y and ||. || denotes the normKeywords : science, integral, continuity
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