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We have obtained the estimate in the terms of partial and mixed moduli of continuity of deviation of Ces´ aro (C, ) means ( = (α 1 ,.. Finally, it is shown, that the m
Using the potential method and the theory of singular integral equa- tions with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is
Liapunov’s method is normally used to study the stability properties of the zero solution of differential and difference equations.. Certain difficulties arise when Liapunov’s method
As the main result we introduce the asymptotic formula for the second solution of the Euler-Weber equation (1), which is linearly independent to the principal one stated in Theorem
RELSE is de " ned as the ratio of the average estimated standard error using the appropriate asymptotic variance } covariance matrix of the respective estimator and the
The main new element of our results is a high order exponential asymptotic expansion which extends in a unified way both the classical Cramér–Lundberg approximation and the
We present an algorithm for representing diffusion of sensible heat and vapor between hydrometeors and air that is formulated from implicit numerical equations and is therefore
One algorithm uses an approximation of the Jacobian matrix during the Newton±Raphson iteration such that the coupled system of equations can be partitioned into a solution of