On New Decomposition Theorems for Mixed-Norm Besov Spaces with Ingredient Modulus of Smoothness
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DOI: 10.3390/sym15030642
Abstract: In this paper, we introduce and study the concept of the ingredient modulus of smoothness in component form in Lp→(Rd) and a kind of mixed-norm Sobolev space. We obtain some new properties, inequalities, and auxiliary… read more here.
Keywords: ingredient modulus; norm besov; mixed norm; modulus smoothness ... See more keywords
Inverse approximation theorem using Bernstein’s Durrmeyer operator in terms of 2nd modulus of smoothness
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DOI: 10.47974/jim-1876
Abstract: Many inverse theorems have been proven using the ordinary modulus of smoothness but no one proved the invers theorems for approximation by Bernstein’s Durrmeyer operator in terms 2nd modulus of smoothness. read more here.
Keywords: modulus smoothness; durrmeyer operator; 2nd modulus; terms 2nd ... See more keywords