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| 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 |
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