Direct, inverse, and equivalence theorems for weighted Szász-Durrmeyer-Bézier operators in Orlicz spaces

DOI10.1007/s10476-021-0084-8zbMath1488.41035OpenAlexW3162791707WikidataQ113904559 ScholiaQ113904559MaRDI QIDQ1980948

Bai-Ni Guo, Ling-Xiong Han

Publication date: 9 September 2021

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-021-0084-8

zbMATH Keywords

approximationOrlicz space\(K\)-functionalequivalence theoremSzász-Durrmeyer-Bézier operatordirect theoremJacobi weightinverse theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by operators (in particular, by integral operators) (41A35) Inverse theorems in approximation theory (41A27)

Related Items (2)

Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces ⋮ Unnamed Item

Cites Work

• On the approximation for generalized Szász-Durrmeyer type operators in the space \(L_p[0, \infty)\)
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• On the rate of convergence of two Bernstein-Bézier type operators for bounded variation functions. II
• Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators
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