Частоти та збіжність додатних числових рядів

Abstract

In this acrticle we propose another way to generete convergence tests of a series of positive terms, a new divergence test, which is based on the concept of the frequency of an element of a numerical sequence. Also we show exaplmes of appling a new convergence tests, in partikular for generalised Flint Hills series and as a consequence, it was obtained that the irrationality measure of the number $ \pi $ is equal $ 2 $.