{ "id": "math/0305295", "version": "v1", "published": "2003-05-20T22:41:13.000Z", "updated": "2003-05-20T22:41:13.000Z", "title": "On Bessel and Gruss Inequalities for Orthornormal Families in Inner Product Spaces", "authors": [ "Sever Silvestru Dragomir" ], "categories": [ "math.CA", "math.FA" ], "abstract": "A new counterpart of Bessel's inequality for orthornormal families in real or complex inner product spaces is obtained. Applications for some Gruss type results are also provided.", "revisions": [ { "version": "v1", "updated": "2003-05-20T22:41:13.000Z" } ], "analyses": { "subjects": [ "26D15", "26D10", "46C05" ], "keywords": [ "orthornormal families", "gruss inequalities", "complex inner product spaces", "gruss type results", "bessels inequality" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......5295S" } } }