Journal of Mathematical Analysis and ApplicationsS. Breen, Uniform upper and lower bounds on the zeros of Bessel functions of the first kind. J. Math. Anal. Appl. 196 (1995), no. 1, 1-17.Uniform upper and lower
It is shown that for systems with no zeros and no complex poles, the classical estimate of the 3 dB cutoff frequency based on the sum of the zero-value time constants (ZVTs) is always conservative. A non-trivial upper bound on the cutoff frequency which depends only on the sum of the...
Kavcic and Motwani also computed simulation based lower bounds based on a simplified decoder [3]. Some of these bounds can be extended to additional channel models, including channels where bits can be duplicated as well as deleted. Recent work by Mitzenmacher has focused on the case where ...
WehaveseeninSection5thatzerosareessentialforsharpbounds Unfortunately itseemsdi culttoadaptthestationarypointargumenttodealwiththesedi culties Oneapproachistoassumethat fhaszerosatcertainlocations andlookatonlytheperturbationshthat upto rstorder donotpush fbelowzero Althoughwecansetupsuchproblems wehavenotbe...
Distribution of the zeros of a polynomial with prescribed lower and upper bounds for its modulus on a compact set26C1026D0530C1030C1542A05A few years ago, the second named author was asked if he knew the largest open simply connected region containing no zero of any polynomial of degree ...