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
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