Sharp estimates of the error of interpolation by bilinear splines for some classes of functions


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Abstract

For some classes of functions of two variables defined by their moduli of continuity, sharp upper bounds for the approximation of functions by interpolation bilinear splines are obtained.

About the authors

M. Sh. Shabozov

Institute of Mathematics; Russian–Tajik Slav University

Author for correspondence.
Email: shabozov@mail.ru
Tajikistan, Dushanbe; Dushanbe

S. N. Mekhmonzoda

Tajik National University

Email: shabozov@mail.ru
Tajikistan, Dushanbe

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