On The Integral Modulus of Continuity of Fourier Series III

Öz 1. Definitions and Notations: Let F (x) be a function with period 2TÜ in Lp (1< p < oo). Then the Lp-modulus of continuity of order k > 1 of F is defined by « kp (8; F) = sup || Akt F (x) || Lp, 0 < |t |< 8 where k Atk F (x) = S (-l)k ~Y (k) F (x + yt) Y=° Y and ||. || denotes the norm
Anahtar Kelimeler:

science, integral, continuity

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Communications, Series A2-A3: Physical Sciences and Engineering