We prove direct simultaneous and converse approximation theorems by trigonometric polynomials for functions f and (α, ψ)-derivatives of f in weighted Lebesgue spaces with variable exponent. Bibliography: 11 titles.
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Translated from Problems in Mathematical Analysis 65, May, 2012, pp. 3-12.
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Akgün, R., Kokilashvili, V. Approximation by trigonometric polynomials of functions having (α, ψ)- derivatives in weighted variable exponent Lebesgue spaces. J Math Sci 184, 371–382 (2012). https://doi.org/10.1007/s10958-012-0873-5
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DOI: https://doi.org/10.1007/s10958-012-0873-5