Chapter1 Preliminaries
1.1 Basicconcepts
1.2 GegenbauerandJacobipolynomials
1.3 Jacobipolynomialswithcomplexindices
Chapter2 Fourier-LaplaceSeries
2.1 Introduction
2.2 Convergence,Lebesgueconstant
2.3 Cesaromeans(Earlyresults)
2.4 Translationoperatorandmeanoperator
2.5 Maximaltranslationoperator
2.6 Projectionoperators
Chapter3 EquiconvergentOperatorsofCesaaroMeans
3.1 Definition
3.2 Localization
3.3 Pointwiseconvergence
3.4 MaximaloperatorEaanda.e.convergence
3.5 Applicationtolinearsummability
Chapter4 ConstructivePropericalfunctions
4.1 Bestapproximationoperator
4.2 PointwiseDerivatives
4.3 Fractionalderivativeandintegral
4.4 Fractionalintegralsofvariableorder
4.5 Modulusofcontinuity
4.6 Derivativesandfinitedifferences
Chapter5 JacksonTypeTheorems
5.1 JacksoninequalityandK-functional
5.2 DifferenceandspaceH`
Chapter6 ApproximationbyLinearMeans
6.1 Almosteverywhereapproximation
6.2 Approximationinnorm
6.3 ThedelaValleePoussinMeans
References
Index