Geodesic
Strong converse inequalities for the weighted simultaneous approximation by the Szász-Mirakjan operator
Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 261-286 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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We establish two-term strong converse estimates of the rate of weighted simultaneous approximation by the Szász-Mirakjan operator for smooth functions in the supremum norm on the non-negative semi-axis. We consider Jacobi-type weights. The estimates are stated in terms of appropriate moduli of smoothness or \(K\)-functionals.
Keywords: Szász-Mirakjan operator, strong converse inequality, converse estimate, simultaneous approximation, modulus of smoothness, K-functional, 41A17, 41A25, 41A27, 41A28, 41A35, 41A40, 41A81 
@article{SMJ2_2021_46_3_a4,
     author = {Draganov, Borislav},
     title = {Strong converse inequalities for the weighted simultaneous approximation by the {Sz\'asz-Mirakjan} operator},
     journal = {Serdica Mathematical Journal},
     pages = {261--286},
     year = {2021},
     volume = {46},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a4/}
}
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Draganov, Borislav. Strong converse inequalities for the weighted simultaneous approximation by the Szász-Mirakjan operator. Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 261-286. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a4/