Pointwise saturation of positive operators

Saturation of Positive Convolution Operators RONALD

Pointwise construction of Lipschitz aggregation operators

This paper establishes tight upper and lower bounds on Lipschitz aggregation operators considering their diagonal, opposite diagonal and marginal sections. Also we provide explicit formulae to determine the bounds. These are useful for construction of these type of aggregation operators, especially using interpolation schemata.

On pointwise estimates involving sparse operators

We obtain an alternative approach to recent results by M. Lacey and Hytönen–Roncal–Tapiola about a pointwise domination of ω-Calderón–Zygmund operators by sparse operators. This approach is rather elementary and it also works for a class of nonintegral singular operators.

Confluence Operators -- Negotiation as Pointwise Merging --

In the logic based framework of knowledge representation and reasoning many operators have been defined in order to capture different kinds of change: revision, update, merging and many others. There are close links between revision, update, and merging. Merging operators can be considered as extensions of revision operators to multiple belief bases. And update operators can be considered as po...

Document summarization using positive pointwise mutual information

The degree of success in document summarization processes depends on the performance of the method used in identifying significant sentences in the documents. The collection of unique words characterizes the major signature of the document, and forms the basis for Term-Sentence-Matrix (TSM). The Positive Pointwise Mutual Information, which works well for measuring semantic similarity in the Ter...