Durable and disposable articles are provided which include a thermoplastic polymer composition, which includes a blend of a polymer and a modified polymer. The modified polymer has covalently bonded pendant substituents derived from cyclodextrin. The articles can be a films, coatings, nonwoven webs, or monolithic articles. An article can have the polymer composition as one part of the article, such as in one distinct area of the article, or on the surface of the article, for example as a coating or surface film. The article can be, for example, a multilayer barrier film, a nonwoven sheet or pad, an absorbent article, or a storage container.