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Your search keyword '"Fourier series"' showing total 2 results
2 results on '"Fourier series"'

1. Best polynomial approximations and the widths of function classes in L.

Author

Shabozov, M. and Tukhliev, K.

Subjects
*POLYNOMIAL approximation, *APPROXIMATION theory, *POLYNOMIALS, *MATHEMATICAL inequalities, *MATHEMATICAL functions, *FOURIER series
Abstract

Sharp Jackson-Stechkin type inequalities in which the modulus of continuity of mth order of functions is defined via the Steklov function are obtained. For the classes of functions defined by these moduli of continuity, exact values of various n-widths are derived. [ABSTRACT FROM AUTHOR]

Published
2013
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2. Best polynomial approximations in L of classes of 2 π-periodic functions and exact values of their widths.

Author

Shabozov, M. and Yusupov, G.

Subjects
*APPROXIMATION theory, *POLYNOMIALS, *DIFFERENTIABLE functions, *TRIGONOMETRY, *PERIODIC functions
Abstract

We find sharp inequalities between the best approximations of periodic differentiable functions by trigonometric polynomials and moduli of continuity of mth order in the space L as well as present their applications. For some classes of functions defined by these moduli of continuity, we calculate the exact values of n-widths in L. [ABSTRACT FROM AUTHOR]

Published
2011
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