Алгоритм восстановления параметров одного класса иррациональных чисел

Abstract

National Research University «Higher School ofEconomics», Russia, 109028, Moscow, Bol. Trekhsvjatitel’skij per., 1-3/12, build. 8,nesterenko_a_y@mail.ruInthisarticlewestudyoneclassofirrationalitieswhichmaybedefinedascovergentserieswithrationalcoefficients.Thisclasscontaina lot of well known constants such as ln2, π, e.t.c. We consider the problem of determination parameters of rational coefficientsby rational approximation of irrationality. We deduced the lower and upper bounds and present an algorithm for determination ofunknown parameters. Also, we present some results of practical calculations.Key words: irrationality, rational approximation.