Two-Sided Estimates of Some Coordinate Splines


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Abstract

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

About the authors

Yu. K. Dem’yanovich

St.Petersburg State University

Author for correspondence.
Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg

D. M. Lebedinskiĭ

St.Petersburg State University

Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg

N. A. Lebedinskaya

St.Petersburg State University

Email: Yuri.Demjanovich@gmail.com
Russian Federation, St.Petersburg

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