Read e-book online Constructive Theory of Functions of Several Variables: PDF

By Prof. Dr. J. Albrecht, Prof. Dr. H. Engels (auth.), Prof. Dr. Walter Schempp, Prof. Dr. Karl Zeller (eds.)

ISBN-10: 3540080694

ISBN-13: 9783540080695

ISBN-10: 3540374965

ISBN-13: 9783540374961

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Read Online or Download Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976 PDF

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Additional info for Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976

Sample text

S . Shapiro and «(2] , [3J , [4] , [6] J. t un de r eert ain we have an inequality between the corrc5ponda and "IYself eonditions on t wo lCeuures ing moduli of conti nuity wa(f , t) and w,( f , t) for all bounded and continuous functions onlY on 0 and wT(f,t ) 'S Cwo(f , Bt) of th e forti f , the constants C and T. llpeci fi c measures for 0 B depending and T one obtaius the s o-called direct end inverse approximation theorems as special cases of tbe cOmparison theoreltS . The purpose of this Artic le is to prove e.

II (LaL) (I.

Lsted results cM be formula'Oed and proved in a uni f'i e d manne r using comparison theorems fcr so-called generalized moduli of con t i nuity. :5 directions by H. S . Shapiro and «(2] , [3J , [4] , [6] J. t un de r eert ain we have an inequality between the corrc5ponda and "IYself eonditions on t wo lCeuures ing moduli of conti nuity wa(f , t) and w,( f , t) for all bounded and continuous functions onlY on 0 and wT(f,t ) 'S Cwo(f , Bt) of th e forti f , the constants C and T. llpeci fi c measures for 0 B depending and T one obtaius the s o-called direct end inverse approximation theorems as special cases of tbe cOmparison theoreltS .

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Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach April 25 – May 1, 1976 by Prof. Dr. J. Albrecht, Prof. Dr. H. Engels (auth.), Prof. Dr. Walter Schempp, Prof. Dr. Karl Zeller (eds.)


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