New Extrapolation Estimates

On the Range Space of Yano’s Extrapolation Theorem and New Extrapolation Estimates at Infinity

Certain Estimates of Oscillatory Integrals and Extrapolation

In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we obtain L boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. Keywords—Fourier transform, oscillatory integrals, Orlicz spaces, B...

Entropy Rate Estimates for Natural Language - A New Extrapolation of Compressed Large-Scale Corpora

One of the fundamental questions about human language is whether its entropy rate is positive. The entropy rate measures the average amount of information communicated per unit time. The question about the entropy of language dates back to experiments by Shannon in 1951, but in 1990 Hilberg raised doubt regarding a correct interpretation of these experiments. This article provides an in-depth e...

Lp Estimates for Marcinkiewicz integral operators and extrapolation

*Correspondence: [email protected] Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan Abstract In this article, we establish Lp estimates for parametric Marcinkiewicz integral operators with rough kernels. These estimates and extrapolation arguments improve and extend some known results on Marcinkiewicz integrals. MSC: Primary 40B20; secondary 4...

A derivation of extrapolation algorithms based on error estimates

In this paper, we shall emphasize the role played by error estimates and annihilation diierence operators in the construction of extrapolations processes. It is showed that this approach leads to a uniied derivation of many extrapolation algorithms and related devices, to general results about their kernels and that it opens the way to many new algorithms. Their convergence and acceleration pro...