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SUFFICIENT CONDITIONS FOR ABSOLUTE SUMMABILITY OF ORTHOGONAL SERIES BY THE MATRIX METHOD WITH THE PROPERTY (K)

SUFFICIENT CONDITIONS FOR ABSOLUTE SUMMABILITY OF ORTHOGONAL SERIES BY THE MATRIX METHOD WITH THE... DEMONSTRATIO MATHEMATICA•Vot.VniNo J1975J. Korczynskl, B. Pletrzyk, L.Sypka, I. WieizbickmSUFFICIENT CONDITIONS FOR ABSOLUTE SUMMABILITYOF ORTHOGONAL SERIES BY THE MATRIX METHODWITH THE PROPERTY CK)0. I n t r o d u c t i o nAssume t h a t we a r e given a s e r i e sn- 1wherej $° n (x)jthe intervali s an a r b i t r a r y orthonormal system d e f i n e d i noo2[ o , l ] and ( C n J e l , i . e . ^ C 2 < °° .I n t h i s paper we s h a l l i n v e s t i g a t e t h e a b s o l u t e summabil i t y of t h e s e r i e s (*) by t h e m a t r i x method with t h e p r o p e r t y(K) i n t r o d u c e d by J . Kope6 [ 1 ] .Let T { a n V ) , n = 0 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

SUFFICIENT CONDITIONS FOR ABSOLUTE SUMMABILITY OF ORTHOGONAL SERIES BY THE MATRIX METHOD WITH THE PROPERTY (K)

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References (1)

Publisher
de Gruyter
Copyright
© by J. Korczyński
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-1975-0202
Publisher site
See Article on Publisher Site

Abstract

DEMONSTRATIO MATHEMATICA•Vot.VniNo J1975J. Korczynskl, B. Pletrzyk, L.Sypka, I. WieizbickmSUFFICIENT CONDITIONS FOR ABSOLUTE SUMMABILITYOF ORTHOGONAL SERIES BY THE MATRIX METHODWITH THE PROPERTY CK)0. I n t r o d u c t i o nAssume t h a t we a r e given a s e r i e sn- 1wherej $° n (x)jthe intervali s an a r b i t r a r y orthonormal system d e f i n e d i noo2[ o , l ] and ( C n J e l , i . e . ^ C 2 < °° .I n t h i s paper we s h a l l i n v e s t i g a t e t h e a b s o l u t e summabil i t y of t h e s e r i e s (*) by t h e m a t r i x method with t h e p r o p e r t y(K) i n t r o d u c e d by J . Kope6 [ 1 ] .Let T { a n V ) , n = 0

Journal

Demonstratio Mathematica – de Gruyter

Published: Apr 1, 1975

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