INTERPOLATION OF OPERATORS BY NEWTON-TYPE POLYNOMIALS
I Demkiv - European Science, 2024 - desymp.promonograph.org
European Science, 2024•desymp.promonograph.org
… In the theory of operator interpolation, the construction and investigation of interpolation
polynomials in abstract linear spaces plays an important role, among which Newton-type
operator interpolation formulas occupy a significant place. We derive three fundamentally
new constructions of interpolation operator polynomials, using the traditional technique for
this problem. The first construction is obtained in subsection 1 for an abstract Banach space
using a specially chosen countable sequence of nodes associated with the basis of the …
polynomials in abstract linear spaces plays an important role, among which Newton-type
operator interpolation formulas occupy a significant place. We derive three fundamentally
new constructions of interpolation operator polynomials, using the traditional technique for
this problem. The first construction is obtained in subsection 1 for an abstract Banach space
using a specially chosen countable sequence of nodes associated with the basis of the …
Abstract
We derive three fundamentally new constructions of interpolation operator polynomials. The first construction is found for an abstract Banach space using a specially chosen countable sequence of nodes associated with the basis of the space. The second con
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