Some Results in Hilbert Sequence Spaces and Hilbert Matrix Applications

Abstract

In this thesis I have derived some of the results pertaining to new Hilbert newlinesequence spaces, difference Hilbert sequence spaces and new Hilbert sequence newlinespaces in n-normed spaces by using orlicz function. Some of the new Hilbert newlinesequence spaces have been introduced and defined by orlicz function and also newlinederived some topological properties and inclusion relations between the spaces. newlineFurther, I come across new difference Hilbert sequences using an Orlicz function, a newlinebounded sequence of positive real numbers, while I provide some relations related to newlinethese sequence spaces. More over new results have been obtained in Hilbert newlinesequence spaces in n-normed through Orlicz function. An effort has been made to newlinestudy these sequence spaces over n-normed spaces. In the latter part of this work, newlineI have proposed that the Hilbert matrix method is applied for two effective newlineapplications which are satellite image classification and in the field of cryptography. newlineIn the field of satellite image processing and classification, the image quality is newlinelimited due to the bandwidth compression, which usually occurs in bandwidthconstrainement newlinein wireless environments such as satellite communication, which can newlinebe increased with the help of the proposed modified Hilbert matrix method along newlinewith GLCM features to improve the quality of satellite image newline