Geodesic
Improved Converse Theorems and Fractional Moduli of Smoothness in Orlicz Spaces
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1

Voir la notice de l'article provenant de la source BMMS

In the present work converse theorems of trigonometric approximation of functions and its fractional derivatives in certain Orlicz spaces are improved with respect to the fractional moduli of smoothness. An improved Marchaud inequality is also given.
Classification : Primary: 46E30; Secondary: 41A10, 41A17, 41A25, 41A27, 42A10 
Ramazan Akgün. Improved Converse Theorems and Fractional Moduli of Smoothness in Orlicz Spaces. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a4/
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     author = {Ramazan Akg\"un},
     title = {Improved {Converse} {Theorems} and {Fractional} {Moduli} of {Smoothness} in {Orlicz} {Spaces}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_1_a4/}
}
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