Geodesic
Improved Converse Theorems and Fractional Moduli of Smoothness in Orlicz Spaces
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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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 
@article{BMMS_2013_36_1_a4,
     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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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/