Approximation on hexagonal domains by Taylor-Abel-Poisson means

نویسندگان

چکیده

Approximative properties of the Taylor-Abel-Poisson linear summation method Fourier series are considered for functions several variables, periodic with respect to hexagonal domain, in integral metric. In particular, direct and inverse theorems proved terms approximations by means K-functionals generated radial derivatives. Bernstein type inequalities L1-norm derivatives arbitrary order Poisson kernel also obtained.

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ژورنال

عنوان ژورنال: Journal of Mathematical Analysis and Applications

سال: 2023

ISSN: ['0022-247X', '1096-0813']

DOI: https://doi.org/10.1016/j.jmaa.2023.127536