Recently, the arithmetic–geometric index (AG) was introduced, inspired by well-known and studied geometric–arithmetic (GA). In this work, we obtain new bounds on index, improving upon some already known bounds. particular, show families of graphs where such are attained.

Symmetric level-index arithmetic was introduced to overcome the problems of overflow and underflow in the floating-point system. The purpose of this paper is to improve the algorithm performance of SLI arithmetic by introducing an approximation scheme using Taylor’s expansion. Following a brief summary of the SLI system and its algorithm for addition/subtraction, the deduction and analysis of T...

‎we obtain the asymptotic expansion of the sequence with general term $frac{a_n}{g_n}$‎, ‎where $a_n$ and $g_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎also‎, ‎we obtain some explicit bounds concerning $g_n$ and $frac{a_n}{g_n}$.

In this paper we describe a C++ implementation of a hybrid system combining SLI (symmetric level-index) arithmetic and FLP (floating-point) arithmetic. The principal motivation for the work to be presented is to promote the use of SLI arithmetic as a practical framework for scientific computing. This hybrid arithmetic is essentially overflow and underflow free, and its implementation has shown ...

the geometric-arithmetic index is another topological index was defined as2 deg ( )deg ( )( )deg ( ) deg ( )g guv eg gu vga gu v  , in which degree of vertex u denoted by degg (u). wenow define a new version of ga index as 4( )2 ε ( )ε ( )( )ε ( ) ε ( )g ge uv e g g gu vga g  u v , where εg(u) isthe eccentricity of vertex u. in this paper we compute this new topological index for twogr...

This paper presents an analytical view of variance reduction by control variate technique for pricing arithmetic Asian options as a financial derivatives. In this paper, the effect of correlation between two random variables is shown. We propose an efficient method for choose suitable control in pricing arithmetic Asian options based on the control variates (CV). The numerical experiment shows ...

The compression is a vital field in image processing which reduces the bandwidth during data transfer in multimedia communications. In this paper, we propose Image Compression using Self Organizing Map (SOM) and Discrete Wavelet Transform (DWT) with Error Correction. The input image is considered from standard database and modified to 4x4 blocks and rearranged as 16x4096 input vectors and appli...