Averaging operators on l^{p_n} and L^p(x)

On Extreme Averaging Operators

Averaging operators on the unit interval

Averaging Operators on the Unit Interval Mai Gehrke, Carol Walker, Elbert Walker New Mexico State University, Las Cruces, New Mexico, USA In this paper we look at algebras consisting of the unit interval [0; 1] with the standard partial order together with an averaging operator. In working with negations and t-norms, it is not uncommon to call upon the arithmetic of the real numbers even though...

On the Boundedness of Hardy’s Averaging Operators

In this paper we establish scales of sufficient conditions for the boundedness of Hardy’s averaging operators on weighted Lebesgue spaces. The estimations of the operator norms are also obtained. Included in particular are the Erdélyi-Kober operators.

Extended and infinite ordered weighted averaging and sum operators with numerical examples

This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As...

Extension and averaging operators for finite fields

In this paper we study L − L estimates of both extension operators and averaging operators associated with the algebraic variety S = {x ∈ Fdq : Q(x) = 0} where Q(x) is a nondegenerate quadratic form over the finite field Fq. In the case when d ≥ 3 is odd and the surface S contains a (d − 1)/2-dimensional subspace, we obtain the exponent r where the L − L extension estimate is sharp. In particul...