Some definitions from from Wikipedia:
Representative democracy (also indirect democracy) is a variety of democracy founded on the principle of elected officials representing a group of people, as opposed to direct democracy. All modern Western-style democracies are types of representative democracies; for example, the United Kingdom is a constitutional monarchy and Germany is a parliamentary republic. [1]
Proxy voting is a form of voting whereby some members of a decision-making body may delegate their voting power to other members of the same body to vote in their absence, and/or to select additional representatives. A person so designated is called a "proxy" and the person designating him or her is called a "principal". Proxy appointments can be used to form a voting bloc that can exercise greater influence in deliberations or negotiations. Proxy voting is a particularly important practice with respect to corporations; in the United States, investment advisers often vote proxies on behalf of their client accounts. [2]
Direct democracy (also known as pure democracy) is a form of democracy in which people decide (e.g. vote on, form consensus on) policy initiatives directly. [3]
[1] https://en.wikipedia.org/wiki/Representative_democracy
[2] https://en.wikipedia.org/wiki/Delegated_democracy
[3] https://en.wikipedia.org/wiki/Direct_democracy
