You are probably looking for the term luxury good, some of which are examples of a Veblen Good. There's a problem though, the term luxury good refers to goods that are not considered essential. The economic term for goods whose demand rises with a positive increase in price, are in fact called Veblen goods.
I get confused over this as well, you just need to keep in mind that the term luxury good refers to the income elasticity[1] of a good and Veblen good refers to the price elasticity[2] of a good.
Some luxury products have been claimed to be examples of Veblen goods, with a positive price elasticity of demand: for example, making a perfume more expensive can increase its perceived value as a luxury good to such an extent that sales can go up, rather than down.
Although the technical term luxury good is independent of the goods' quality, they are generally considered to be goods at the highest end of the market in terms of quality and price. Classic luxury goods includehaute couture clothing, accessories, and luggage. Many markets have a luxury segment including, for example, automobile, wine, bottled water, tea, watches, jewelry, high fidelity, and chocolate.
Luxuries may be services. The hiring of full-time or live-in domestic servants is a luxury reflecting disparities of income. Some financial services, especially in some brokerage houses, can be considered luxury services by default because persons in lower-income brackets generally do not use them.[3]
[1] [math] \frac{\Delta Q_d / Q_d}{\Delta I_d / I_d} [/math], the change of a good's demand w.r.t a 1% change in income.
[2] [math] \frac{\Delta Q_d / Q_d}{\Delta P_d / p_d} [/math], the change in demand w.r.t. a 1% change in price.
[3] http://en.wikipedia.org/wiki/Lux…