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Recently, there has been some interest in investigating values of classical arithmetic functions with Fibonacci numbers... In light of ( 2 ), it makes sense to ask if we can pair
Yuankui Ma and the first author [ 10 ] studied the relation- ships between the Chebyshev polynomials of the first kind and the famous Euler numbers, and obtained an interesting
The proof of Lemma 9 is based on the well-known Besicovitch theorem on possible values of upper and lower derivative numbers (see [1], Ch.IV,.. § 3) and is carried out analogously
The latter inequality is also useful to get the boundedness of some Hardy type operators in weighted Lorentz spaces (see Lemma 3).. It is of interest to identify some situations
For the convenience of the reader we quote some known results as the following lemmas:..
Applying this lemma, one can conclude that, for example, the normal distribution, Weibull distributions with the parameter p¿ 1 and Poisson distribution have a light right tail..
Boolean valued analysis is applied to deriving operator versions of the classical Farkas Lemma in the theory of simultaneous linear inequalities.. Mathematics Subject
Furthermore, for the classical compound Poisson model we consider some asymptotic formulae, as initial surplus tends to infinity, for the severity of ruin, which allow us to
