Integrability of Trigonometric Series with Coefficients Satisfying Certain Conditions
Journal Title: International Journal for Research in Applied Science and Engineering Technology (IJRASET) - Year 2017, Vol 5, Issue 1
Abstract
Let 1 P and 1 P P 1, suppose that { an } is a sequence of ,Numbers such that an Aj or an A j and P P n n P P n L n a 1/ 1 2 ( )( ) , then we will prove that 1/ 1 f (x) L(P,) x L P And n P n P P P P P f x B P j n L n a x L 1 ( ) , , ( )( ) 1 2 , 1/ & ii)Let { an } be a sequence of numbers such that an Aj or an A j . If 1 P and 1 P P 1, then a necessary and sufficient condition that 1/ 1 f (x) L(P,) x L P is that P n n P P n L(n).
Authors and Affiliations
Dr. Manisha Sharma
Keywords
Related Articles
- EP ID EP23053
- DOI -
- Views 277
- Downloads 5
Design and Fabrication of Metal Strip Cutting Machine
Metal cutting is the basic process in any steel industries, ship building and bridges. Usually the industries cut the metal manually by using chop saw. It takes lot of time to measure the required length of the metal st...
Review of Investigating the strength, Alkali Aggregate reaction and influence of elevated temperature in cement mortar contains Granite powder
Sustainability in Cement mortar Production can be achieved by innovations in substitutions of materials used. Innovations are much needed to meet the increasing demand for new and quality materials. Use of Hazardous Ind...
Circularly Polarized Multi Band Patch Antenna for High Frequency Wi-Fi and Wi-MAX Application Simulated with CST Studio Suite
A circularly polarized multi band patch antenna for high frequency application was proposed. The main purpose of this antenna is for wireless communication mainly Wi-Fi and WiMAX applications and also satisfy the bandwi...
Investigating Image Processing Techniques on Using Face Recognition
Algorithms based on Principal Component Analysis (PCA) and subspace Linear Discriminate Analysis (LDA) are popular in face recognition. PCA is used to perform dimension reduction on human face data and LDA creates anoth...
slugAn Approach for Estimation of Obstructive Sleep Apnea Syndrome from EEG
Sleep is a corporeal mechanism which achieves recuperative functions for the brain and the body. To maintain a healthy status for most living organisms sleep is an essential criteria .Being a naturally recurring s...