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
Primary Language | English |
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Subjects | Engineering |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1974 |
Submission Date | January 1, 1974 |
Published in Issue | Year 1974 |
Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering
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