DISCRETE IMPROVED HARDY INEQUALITIES

In this thesis work, a new improved version of the discrete Hardy inequality is obtained, covering the discrete version of inequality of Frank, Laptev, and Weidl and extending on the recent results of Roychowdhury and Suragan. We establish a new result for one dimensional discrete versions for the L...

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Bibliographic Details
Main Author: Tulendinova, Aizhan
Format: Master Thesis
Language:English
Published: Nazarbayev University School of Sciences and Humanities 2024
Subjects:
Type of access: Restricted
Discrete Hardy’s inequality
sharp constant
uncertainty principle
laptev
Online Access:http://nur.nu.edu.kz/handle/123456789/7774
Description
Summary:In this thesis work, a new improved version of the discrete Hardy inequality is obtained, covering the discrete version of inequality of Frank, Laptev, and Weidl and extending on the recent results of Roychowdhury and Suragan. We establish a new result for one dimensional discrete versions for the Lq−Lp cases. We also construct the discrete Heisenberg-Pauli-Weyl uncertainty principle.

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