# Exponential Trigonometric Functions --- From the Book

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Let shx and chx be hyperbolic function,simÎ², cosÎ² be trigonometric function,complex number dâ‰ 0. The sum power of hyperbolic function and equal ratios sequence product nÎ£k=0 dkshkkz nÎ£k=0 dk ch'kz hyperbolic function with trigonometric function nÎ£k=0 sh'kxsinkÎ², nÎ£k=0...

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We obtain Bernstein and Jackson-Nikolâ€™skii inequalities for trigonometric polynomials with spectrum generated by the level surfaces of a function Î›( t), and study their sharpness under a specific choice of Î›( t). Estimates of the norms of derivatives of Dirichlet kernels with...