Volume 31, Issue 3
A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces

F. E. Levis

Anal. Theory Appl., 31 (2015), pp. 253-259.

Published online: 2017-07

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  • Abstract

In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.

  • Keywords

Best approximation pair Padé approximant pair Orlicz spaces

  • AMS Subject Headings

41A30 41A21

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COPYRIGHT: © Global Science Press

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@Article{ATA-31-253, author = {F. E. Levis}, title = {A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {31}, number = {3}, pages = {253--259}, abstract = {

In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2015.v31.n3.4}, url = {http://global-sci.org/intro/article_detail/ata/4638.html} }
TY - JOUR T1 - A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces AU - F. E. Levis JO - Analysis in Theory and Applications VL - 3 SP - 253 EP - 259 PY - 2017 DA - 2017/07 SN - 31 DO - http://doi.org/10.4208/ata.2015.v31.n3.4 UR - https://global-sci.org/intro/article_detail/ata/4638.html KW - Best approximation pair KW - Padé approximant pair KW - Orlicz spaces AB -

In this short note, we show the behavior in Orlicz spaces of best approximations by algebraic polynomials pairs on union of neighborhoods, when the measure of them tends to zero.

F. E. Levis. (1970). A Note on Padé Approximants Pairs as Limits of Algebraic Polynomials Pairs of Weighted Best Approximation in Orlicz Spaces. Analysis in Theory and Applications. 31 (3). 253-259. doi:10.4208/ata.2015.v31.n3.4
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