An inequality for continuous linear functionals

AbstractLet n>1 be an integer, f∈Cn[a,b], and A:C[a,b]→R a continuous linear functional which annihilates all polynomials of degree at most n−1. We give sharp inequalities of the form |A(f)|≤Mk‖f(k)‖2, k=2,…,n

Some inequalities for a Stancu type operator via (1,1) box convex functions

In this paper we introduce a Stancu type operator and we prove inequalities of Rașa's type

Asymptotic Behaviour of the Iterates of Positive Linear Operators

We present a general result concerning the limit of the iterates of positive linear operators acting on continuous functions defined on a compact set. As applications, we deduce the asymptotic behaviour of the iterates of almost all classic and new positive linear operators

A class of discretely defined positive linear operators satisfying DeVore-Gopengauz inequalities

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Some inequalities for a Stancu type operator via (1,1) box convex functions

In this paper we introduce a Stancu type operator and we prove inequalities of Rașa's type