Using the notion of eta-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula.

There are many applications that are not naturally based on the orthogonal co-ordinate systems, like ultrasound imaging, astronomy, mechanical computations etc. In many cases it is necessary to transform the problem formulation to the orthogonal co-ordinate system, where the problem is solved, transform the solution back and visualize the solution. The polar, spherical or cylindrical co-ordinat...

In this paper we propose an algorithm for exhaustive search of GIS Mobile query (pointin-area function). This algorithm search the status of a given co-ordinate point with respect to an area (described as a set of co-ordinates without any geometric relationship). In the exhaustive search algorithm proposed previously, there were a number of undetermined points (which does not support the range ...