On Extreme Averaging Operators

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.

Some Induced Averaging Aggregation Operators Based on Pythagorean Fuzzy Numbers

In this paper we present two new types aggregation operators such as, induced Pythagorean fuzzy ordered weighted averaging aggregation operator and induced Pythagorean fuzzy hybrid averaging aggregation operator. We also discuss of important properties of these proposed operators and construct some examples to develop these operators.

On the fine spectra of some averaging operators

The aim of this text is the study of the fine spectra for a class of Cesàro generalized operators, Rhaly operators, when those are defined on the spaces lp, p > 1. 2000 Mathematical Subject Classification: 65F15 The averaging operators A are determined by relations inf x∈X f(x) ≤ A(f) ≤ sup x∈X f(x) , ∀ f ∈ F = {f | f : X → R}, where ∅ 6= X ⊂ R. A(f) is the mean of f for the operator A. For a =...