Trigonometric approximation in generalized Lebesgue spaces L^p(x)

Generalized Lebesgue Spaces and Application to Statistics

Statistics requires consideration of the “ideal estimates” defined through the posterior mean of fractional powers of finite measures. In this paper we study L1= , the linear space spanned by th power of finite measures, 2 (0; 1). It is shown that L1= generalizes the Lebesgue function space L1= ( ), and shares most of its important properties: It is a uniformly convex (hence reflexive) Banach s...

Approximation by Trigonometric Polynomials in Weighted Rearrangement Invariant Spaces

We investigate the approximation properties of trigonometric polynomials and prove some direct and inverse theorems for polynomial approximation in weighted rearrangement invariant spaces.

Trigonometric Approximation of Periodic Signals Belonging to Generalized Weighted Lipschitz

Approximation theory has been an established field of mathematics in the past century. Analysis of signals or time functions is of great importance, because it conveys information or attributes of some phenomenon. The engineers and scientists use properties of Fourier approximation for designing digital filters. In the present paper, an attempt is made to determine a theorem on the degree of ap...

Decomposition of Lebesgue Spaces

Approximation By Trigonometric Polynomials

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