New Kantorovich-type integral variants of Grünwald operators on Chebyshev nodes are introduced and shown to converge in L^p and multiple Banach function spaces with quantitative estimates.
Faber, ¨Uber die interpolatorische Darstellung stetiger Funktionen, Jber
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2026 2verdicts
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A Durrmeyer variant of Grünwald operators is built on L^p[0, π] and shown to converge in norm with rates from modulus of continuity and K-functionals via a Korovkin-type theorem.
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A Kantorovich-type variant of Gr\"unwald Interpolation Operators
New Kantorovich-type integral variants of Grünwald operators on Chebyshev nodes are introduced and shown to converge in L^p and multiple Banach function spaces with quantitative estimates.
-
A Durrmeyer-type variant of Gr\"unwald Interpolation Operators
A Durrmeyer variant of Grünwald operators is built on L^p[0, π] and shown to converge in norm with rates from modulus of continuity and K-functionals via a Korovkin-type theorem.