Andrei Andreyevich Markov (1856-1922)
- The article
The life and work of A.A. Markov by Gely P. Basharin, Amy N.Langville
and Valeriy A Naumov, Linear Algebra and its Applications 386
(2004) 3--26, should be read with some caution, according to its review
in Zentralblatt Math. For those with access, this article may be viewed at
- Markov, A. A., Ob odnom voproce D. I.
Mendeleeva, Zapiski Imperatorskoi Akademii Nauk SP6. 62
(1890), 1-24. This is the original paper in Old Russian spelling (and
we thank V. V. Arestov and Elena Berdysheva for providing this copy). This paper
contains the proof of the Markov inequality for algebraic polynomials.
This journal was later called Mémoires de l'Academie
Impériale des Sciences de St.-Pétersbourg VIe
séries. Due, it seems, to translating the name of the journal
into French and then back into Russian, many sources now reference this
article as being in Izv. Petersburg Acad. Nauk or some variant
thereof. As such it was referenced (and also with the year 1889) in A. A.
Markov's Selected Works from 1948 which contains a
the above paper into modern Russian spelling.
We also have an English translation
On a question by D. I. Mendeleev
prepared by Carl de Boor and Olga Holtz.
- This letter from Heinz-Joachim Rack
an extended discussion of the effects on Approximation Theory and Analysis
of Mendeleev's question as well as of the relevant parts of Mendeleev's book.
Here , thanks to Heinz-Joachim Rack, are the most relevant pages, page 289 and
of Mendeleev's book. To be sure, these pages use the old Russian spelling.
- Boas, R. P., Extremal problems for polynomials, Amer. Math.
Monthly 85 (1978), 473-475. A short pleasant expository note
about the origins of the Markov inequality. This article may be viewed
electronically at JSTOR