Approximation of functions by Baskakov-Kantorovich operator

DOI10.1007/s00025-016-0554-7zbMath1351.41022OpenAlexW2345507041MaRDI QIDQ346575

Ivan Gadjev

Publication date: 29 November 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0554-7

zbMATH Keywords

Baskakov-Kantorovich operatordirect theoremK-functionalstrong converse theorem

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Related Items (7)

Weighted simultaneous approximation of the linear combinations of Baskakov operators ⋮ About characterization of one K-functional ⋮ On the q-analogues for some Kantorovich type linear operators ⋮ Direct estimates of the weighted simultaneous approximation by the Baskakov operator ⋮ Unnamed Item ⋮ Equivalent theorem of approximation by linear combination of weighted Baskakov-Kantorovich operators in Orlicz spaces ⋮ Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces

Cites Work

• Strong converse inequality for Kantorovich polynomials
• The strong converse inequality for Bernstein-Kantorovich operators
• Studying Baskakov-Durrmeyer operators and quasi-interpolants via special functions
• Weighted approximation by Baskakov operators
• Strong converse inequalities
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