- Mathematical Sciences and Applications E-Notes
- Volume:1 Issue:2
- APPROXIMATING CLASSES OF FUNCTIONS DEFINED BY A GENERALISED MODULUS OF SMOOTHNESS
APPROXIMATING CLASSES OF FUNCTIONS DEFINED BY A GENERALISED MODULUS OF SMOOTHNESS
Authors : Faton M BERISHA, Nimete SHBERISHA
Pages : 84-89
View : 29 | Download : 7
Publication Date : 2013-12-01
Article Type : Research Paper
Abstract :In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we definegeneralised Lipschitz classes of functions, and we give their constructive characteristics. Specifically, we prove certain direct and inverse types theorems inapproximation theory for best approximation by algebraic polynomialsKeywords : generalised Lipschitz classes, generalised modulus of smoothness, asymmetric generalised shift operator, theorem of coincidence of classes
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