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 Large sieve for generalized trigonometric polynomials Bull. Korean Math. Soc. 1999 Vol. 36, No. 1, 161-169 Haewon Joung Inha University Abstract : Generalized nonnegative trigonometric polynomials are defined as the products of nonnegative trigonometric polynomials raised to positive real powers. The generalized degree can be defined in a natural way. We improve and extend the large sieve involving $p$th powers of trigonometric polynomials so that it holds for generalized trigonometric polynomials. Keywords : large sieve, generalized trigonometric polynomials, Jensen's inequality MSC numbers : 42A05 Full-Text :