Approximation properties of Bernstein singular integrals in variable exponent Lebesgue spaces on the real axis

2012/10/17 by Ramazan Akgün, Akgün, Ramazan
Mathematics · #41A25 #41A28 #41A35 #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Primary 41A17 #Secondary 42A27

paper · pdf · doi:10.48550/arxiv.1210.4714

openalex publication_date 2012/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In generalized Lebesgue spaces L^p(.) 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 L^p(.) are proved.

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