Geodesic
Modified modulus of smoothness and approximation in weighted Lorentz spaces by Borel and Euler means
Problemy analiza, Tome 10 (2021) no. 1, pp. 87-100

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Using one-sided Steklov means, we introduce a new modulus of smoothness in weighted Lorentz spaces. The direct and inverse approximation theorem for this modulus of smoothness are proved. Also, we estimate the rate of approximation by the Borel and Euler means in weighted Lorentz spaces.
Keywords: weighted Lorentz spaces, direct and inverse approximation theorems, Borel means, Euler means. 
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     author = {S. S. Volosivets},
     title = {Modified modulus of smoothness and approximation in weighted {Lorentz} spaces by {Borel} and {Euler} means},
     journal = {Problemy analiza},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2021_10_1_a5/}
}
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S. S. Volosivets. Modified modulus of smoothness and approximation in weighted Lorentz spaces by Borel and Euler means. Problemy analiza, Tome 10 (2021) no. 1, pp. 87-100. http://geodesic.mathdoc.fr/item/PA_2021_10_1_a5/