Fourier Approximation in Lp-Spaces : A Summability Approach

Uaday Singh

ISBN 10: 3639204107 / ISBN 13: 9783639204100

Published by VDM Verlag Dr. Müller, 2009

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The subject of Fourier Approximation has received special attention during the last few decades due to its wide applications in the field of Physics, Aeronautics, Signal Analysis in general & designing of digital filters with Finite Impulse Response in particular. Functions (signals) belonging to Lp- spaces are assumed to be the most appropriate signals for the practical purposes, for example L1, L2 and L are particularly interesting spaces for Engineers. Fourier approximation in Lip(p 1)- spaces using summability techniques is a field of paramount importance. In Fourier analysis, since Fourier coefficients are computable and applicable, researchers have already established many classical and interesting results by assuming monotonicity on the coefficients. One of the important and natural ways to improve these results is to loose the restriction on monotonicity conditions. Under this background many generalizations of monotonicity conditions were suggested. This book is an attempt in the direction of improving the present status of the subject.

Seller Inventory # 9783639204100

Bibliographic Details

• Title: Fourier Approximation in Lp-Spaces : A Summability Approach
• Publisher: VDM Verlag Dr. Müller
• Publication Date: 2009
• Language: English
• ISBN 10: 3639204107
• ISBN 13: 9783639204100
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 22W x 15H x 0.6D centimeters 22 centimeters width by 15 centimeters height by 0.6 centimeters depth
• Weight: 183 grams

About this title

Synopsis

The subject of Fourier Approximation has received special attention during the last few decades due to its wide applications in the field of Physics, Aeronautics, Signal Analysis in general & designing of digital filters with Finite Impulse Response in particular. Functions (signals) belonging to Lp- spaces are assumed to be the most appropriate signals for the practical purposes, for example L1, L2 and L? are particularly interesting spaces for Engineers. Fourier approximation in Lip(p ? 1)- spaces using summability techniques is a field of paramount importance. In Fourier analysis, since Fourier coefficients are computable and applicable, researchers have already established many classical and interesting results by assuming monotonicity on the coefficients. One of the important and natural ways to improve these results is to loose the restriction on monotonicity conditions. Under this background many generalizations of monotonicity conditions were suggested. This book is an attempt in the direction of improving the present status of the subject.

About the Author

Dr. Uaday Singh carried out his Ph. D. work at IIT Roorkee and CCS University Meerut and obtained Ph. D. degree from CCS University in the field of Fourier Approximation.Currently he is Assistant Professor in Mathematics at ISM,Dhanbad.He has also worked as Assistant Professor at NCERT and BHU the renowned institutes of education in India.