approximation theory 1banach lattices 1inverse estimates 1kantorovich operators 1sampling operators 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
Approximation by Kantorovich-type operators in general Banach spaces
Yurii Kolomoitsev
The paper studies how Kantorovich-type sampling operators approximate functions in general Banach lattices on the torus and the real line, providing direct, inverse, and strong con…
math.FA2026
Approximation by linear sampling operators in Banach spaces
Yurii Kolomoitsev
This paper studies approximation properties of linear sampling operators in general Banach lattices . We obtain matching direct and inverse approximation estimates, convergence…
math.NA2025
Special measures of smoothness for approximation by sampling operators in
Yurii Kolomoitsev
Traditional measures of smoothness often fail to provide accurate -error estimates for approximation by sampling or interpolation operators, especially for functions with low…