In this article, we define restricted log-exp-analytic functions as compositions of log-analytic and exponentials locally bounded functions. We prove that the derivative a function is again such exhibits strong quasianalytic properties. establish parametric version Tamm’s theorem for class

The Kumaraswamy distribution is a common type of bounded distribution, which widely used in agriculture, hydrology, and other fields. In this paper, we use the methods likelihood ratio test, modified information criterion, Schwarz criterion to analyze change point distribution. Simulation experiments give performance three methods. application section illustrates feasibility proposed method by ...

Exp-log functions are those obtained from the constant 1 and the variable X by means of arithmetic operations and the function symbols exp() and logll. This paper gives an explicit algorithm for determining eventual dominance of these functions modulo an oracle for deciding zero equivalence of constant terms. This also provides another proof that the dominance problem for exp-log functions is T...

It is known that LOG – EXP transform based image compression algorithm proposed by S.C.Huang, L.G.Chen and H.C.Chang offers high Compression Ratio (CR) and high image quality compared to JPEG for any specified value of Peak-Signal to Noise Ratio (PSNR). In this paper, a modified LOG – EXP transform based image compression algorithm obtained by using arithmetic coding in the place of Huffman cod...

Let fb k (n)g 1 n=0 be the Bell numbers of order k. It is proved that the sequence fb k (n)=n!g 1 n=0 is log-concave and the sequence fb k (n)g 1 n=0 is log-convex, or equivalently, the following inequalities hold for all n 0, 1 b k (n + 2)b k (n) b k (n + 1) 2 n + 2 n + 1 : Let f(n)g 1 n=0 be a sequence of positive numbers with (0) = 1. We show that if f(n)g 1 n=0 is log-convex, then (n)(m) (n...