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Erratum to: Rational approximation to values of G-functions, and their expansions in integer bases

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1 Published in 2018 at "manuscripta mathematica"

DOI: 10.1007/s00229-017-0988-6

Abstract: In this note we correct a mistake in the proof of the main result of [1], pointed out to us by Dimitri Le Meur. read more here.

Keywords: rational approximation; approximation values; expansions integer; functions expansions ... See more keywords

Rational Approximation in a Class of Weighted Hardy Spaces

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1 Published in 2018 at "Complex Analysis and Operator Theory"

DOI: 10.1007/s11785-018-0862-x

Abstract: This study aims at rational approximation of a class of weighted Hardy spaces, including the classical Bergman space, the weighted Bergman spaces, the Hardy space, the Dirichlet space and the Hardy–Sobolev spaces. We will mainly… read more here.

Keywords: rational approximation; approximation; weighted hardy; class weighted ... See more keywords

On intrinsic and extrinsic rational approximation to Cantor sets

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1 Published in 2021 at "Ergodic Theory and Dynamical Systems"

DOI: 10.1017/etds.2020.7

Abstract: We establish various new results on a problem proposed by Mahler [Some suggestions for further research. Bull. Aust. Math. Soc. 29 (1984), 101–108] concerning rational approximation to fractal sets by rational numbers inside and outside… read more here.

Keywords: rational approximation; cantor; cantor sets; fractal sets ... See more keywords

Rational approximation in Hardy spaces on strips

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1 Published in 2018 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2017.1403428

Abstract: Abstract In this paper we consider rational approximation of functions in the Hardy spaces on the strip with . Observing that can be regarded as the direct sum of and , we give three kinds… read more here.

Keywords: rational approximation; approximation hardy; spaces strips; approximation ... See more keywords

Generalized growth of meromorphic functions and rational approximation

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1 Published in 2023 at "Filomat"

DOI: 10.2298/fil2301293a

Abstract: For an arbitrary compact set E ? C we consider the Newton-Pad? approximant and rational approximation error of meromorphic function f and relate these to the generalized order and generalized type of f. Our results… read more here.

Keywords: functions rational; rational approximation; generalized growth; approximation ... See more keywords