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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 439, Pages 74–92 (Mi znsl6201)

This article is cited in 2 papers

Two-sided estimates of some coordinate splines

Yu. K. Dem'yanovich, D. M. Lebedinskii, N. A. Lebedinskaya

St. Petersburg State University, St. Petersburg, Russia

Abstract: Two-sided estimates of continuously differentiable coordinate splines of the second order are established, and sufficient conditions of their nonnegativeness are provided. The results obtained are applied to trigonometric splines.

Key words and phrases: coordinate splines, two-sided estimates, generating vector function, components of a representation, local quasi-equidistant grid.

UDC: 519

Received: 23.11.2015


 English version:
Journal of Mathematical Sciences (New York), 2016, 216:6, 770–782

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