Behaviour of L_q norms of the \sinc_p function

2018/04/10 by Edmunds, David E, Melkonian, Houry
#FOS: Mathematics #Numerical Analysis (math.NA) #Primary 33F05 #Secondary 42A99

paper · doi:10.48550/arxiv.1804.03490

Abstract

An integral inequality due to Ball involves the L_q norm of the \sinc_p function; the dependence of this norm on q as q→∞ is now understood. By use of recent inequalities involving p-trigonometric functions (1

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