Geodesic
The Lagrange trigonometric interpolation polynomial with the minimal norm considered as an operator from $C_{2\pi}$ to~$C_{2\pi}$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 60-68

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In this paper we perform a comparative analysis of Lebesgue functions and constants of a family of Lagrange polynomials. We prove that if a polynomial from the family has the minimal norm in the space of square summable functions, then it also has the minimal norm as an operator which maps a space of continuous functions into itself.
Mots-clés : Lagrange polynomials, Lebesgue functions, Lebesgue constants.
Keywords: fundamental polynomials 
@article{IVM_2010_10_a5,
     author = {I. A. Shakirov},
     title = {The {Lagrange} trigonometric interpolation polynomial with the minimal norm considered as an operator from $C_{2\pi}$ to~$C_{2\pi}$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {60--68},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a5/}
}
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I. A. Shakirov. The Lagrange trigonometric interpolation polynomial with the minimal norm considered as an operator from $C_{2\pi}$ to~$C_{2\pi}$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 60-68. http://geodesic.mathdoc.fr/item/IVM_2010_10_a5/