Answer each question with a minimum of 70 words per question: Who is Isaac Jacob Schoenberg? How does he relate to the topics of numerical solution and error analysis, polynomial approximation and divided difference, higher order polynomial approximation? Provide at least three specific facts about him/his work in relation to this content, and use at least one source with an appropriate citation and reference. (Do not use Wikipedia or other non-scholarly sources.) Who is the Hermite interpolation technique named after? Describe at least three of his contributions to the field of mathematics. Use at least one source with an appropriate citation and reference. (Do not use Wikipedia or other non-scholarly sources.)
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