Geodesic
Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 93-99
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The sharp Jackson inequality is proved for the space of entire functions of many variables with mean-square norm for an arbitrary modulus of continuity generated by a difference operator with constant coefficients.
Keywords: Jackson inequality, generalized modulus of continuity, multidimensional approximation. 
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S. N. Vasil'ev. Jackson inequality in $L_2(\mathbb R^N)$ with generalized modulus of continuity. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 4, pp. 93-99. http://geodesic.mathdoc.fr/item/TIMM_2010_16_4_a9/

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