We introduce a new technique for solving Initial Value Problems (IVPs) by formulating an embedded method involving RK methods based on Arithmetic Mean(AM) and Heronian Mean (HeM). The function of the simulator is that it is capable of performing Raster Simulation for any kind as well as any size of input image. It is a powerful tool for researchers to examine the potential applications of CNN. ...

In the paper, the authors survey integral representations (including the Lévy– Khintchine representations) and applications of some bivariate means (including the logarithmic mean, the identric mean, Stolarsky’s mean, the harmonic mean, the (weighted) geometric means and their reciprocals, and the Toader–Qi mean) and the multivariate (weighted) geometric means and their reciprocals, derive inte...

Abstract From geometrical point of view, Eve [2] studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean. We have considered for the first time a new measure calling generalized triangular discrimination. Inequalities among non-negative differences arising due to seven means and particular cases of generalized triangu...

A Radio Heronian Mean Dd-distance Labeling of a connected graph is an injective map from the vertex set N such that for two distinct vertices and , Dd where denotes between Dd-diameter G.

In actual multiple attribute decision making, people often use language to evaluate attributes of the object, and sometimes there are associations between attributes. Therefore, study making with as is great theoretical significance practical value. The Heronian mean not only an operator which reflects attributes, but also has excellent properties, including idempotency, monotonicity, boundedne...

Extending a similar result about triangles, we show that each Heronian tetrahedron may be positioned with integer coordinates. More generally, we show the following: if an integral distance set in R can be positioned with rational coordinates, then it can in fact be positioned with integer coordinates. The proof, which uses the arithmetic of quaternions, is tantamount to an algorithm.

The basic idea behind this work is in extraction (estimation) of the uncorrupted image from the distorted or noised one. The idea is also referred to as the image denoising. Noise removal or noise reduction in an image can be done by linear or nonlinear filtering. The most popular linear technique is based on averaging (or meaning) linear operators. Usually, denoising via linear filters does no...