Grüss Type Discrete Inequalities in Normed Linear Spaces, Revisited
نویسنده
چکیده
Some sharp inequalities of Grüss type for sequences of vectors in real or complex normed linear spaces are obtained. Applications for the discrete Fourier and Mellin transform are given. Estimates for polynomials with coefficients in normed spaces are provided as well.
منابع مشابه
Grüss Type Discrete Inequalities in Inner Product Spaces, Revisited
Some sharp inequalities of Grüss type for sequences of vectors in real or complex inner product spaces are obtained. Applications for Jensen's inequality for convex functions defined on such spaces are also provided.
متن کاملOn Some Discrete Inequalities in Normed Linear Spaces
Some sharp discrete inequalities in normed linear spaces are obtained. New reverses of the generalised triangle inequality are also given.
متن کاملSome Grüss Type Inequalities in Inner Product Spaces
Some new Grüss type inequalities in inner product spaces and applications for integrals are given.
متن کاملON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE FUZZY NORMED LINEAR SPACES
n this paper we study the Hyers-Ulam-Rassias stability of Cauchyequation in Felbin's type fuzzy normed linear spaces. As a resultwe give an example of a fuzzy normed linear space such that thefuzzy version of the stability problem remains true, while it failsto be correct in classical analysis. This shows how the category offuzzy normed linear spaces differs from the classical normed linearspac...
متن کاملSome inequalities in inner product spaces related to the generalized triangle inequality
In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the Ostrowski discrete inequality for vectors in normed linear spaces are also obtained.
متن کامل