You simply need to use a media query in CSS to accomplish this.
@media (max-width: 1026px) {
#fadeshow1 { display: none; }
}
Unfortunately some browsers do not support @media
(looking at you IE8 and below). In those cases, you have a few options, but the most common is Respond.js which is a lightweight polyfill for min/max-width CSS3 Media Queries.
<!--[if lt IE 9]>
<script src="respond.min.js"></script>
<![endif]-->
This will allow your responsive design to function in those old versions of IE.
*reference