Approximation properties of Bernstein singular integrals in variable exponent Lebesgue spaces on the real axis
Abstract
In generalized Lebesgue spaces Lp(.) with variable exponent p(.) defined on the real axis, we obtain several inequalities of approximation by integral functions of finite degree. Approximation properties of Bernstein singular integrals in these spaces are obtained. Estimates of simultaneous approximation by integral functions of finite degree in Lp(.) are proved.
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