Sharp <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e25" altimg="si8.svg"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-error estimates for sampling operators
نویسندگان
چکیده
We study approximation properties of linear sampling operators in the spaces Lp for 1≤p<∞. By means Steklov averages, we introduce a new measure smoothness that simultaneously contains information on function and discrete behaviour at points. The enables us to improve extend several classical results theory case operators. In particular, obtain matching direct inverse inequalities Lp, find exact order decay corresponding Lp-errors particular classes functions, special K-functional its realization suitable studying
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2023
ISSN: ['0021-9045', '1096-0430']
DOI: https://doi.org/10.1016/j.jat.2023.105941