Students often have a difficult time understanding what convolution is. Students can often evaluate the convolution integral (continuous time case), convolution sum (discrete-time case), or perform graphical convolution but may not have a good grasp of what is happening. In other words, students can solve the formula but often do not understand the result or why they get that result. Most engin...

The aim of this article is to study a multiplier family of univalent harmonic meromorphic functions using the sequences {cn} and {dn} of positive real numbers. By specializing {cn} and {dn}, representation theorms, bounds, convolution, geometric convolution, integral convolution and convex combinations for such functions have been determined. The theorems presented, in many cases, confirm or ge...

Chen and Mangasarian (1995) developed smoothing approximations to the plus function built on integral-convolution with density functions. X. Chen (2012) has recently picked up this idea constructing a large class of smoothing functions for nonsmooth minimization through composition with smooth mappings. In this paper, we generalize this idea by substituting the plus function for an arbitrary fi...