Riesz–Zygmund Means and Approximation in Variable Exponent Grand Spaces
摘要
In the paper, the estimates of generalized modulus of smoothness and best approximation in variable exponent grand Lebesgue spaces in terms of norms of derivatives of Fourier partial sums, Riesz–Zygmund and Euler means are given. Some characterizations of generalized Hölder spaces are obtained in terms of Riesz–Zygmund means.