Rational approximation and smoothness of functions

Peller, Vladimir

doi:10.1007/bf01839610

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1988

1989

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“…It turned out that the use of the Faber transform technique, developed by E. M. Dyn'kin [ii, 12], allows us to obtain similar results for functions defined in domains and on a segment (see [6] and [7], where one has considered the case of the power decrease of the numbers %~(~) of order greater than one).…”

Section: Introdugtionmentioning

confidence: 99%

Rational approximation in Lp and Faber transforms

Peller¹

1989

J Math Sci

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Section: Introdugtionmentioning

confidence: 99%

Rational approximation in Lp and Faber transforms

Peller¹

1989

J Math Sci

Self Cite

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Tchebycheff Rational Approximation in the Disk, on the Circle, and on a Closed Interval

Пекарский¹

1988

Math. USSR Sb.

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A novel magnetically separable photocatalyst (titania-coated carbon encapsulated magnetite: TCCEF) was prepared. The prepared composite photocatalyst was characterized with an x-ray diffractometer (XRD), a transmission electron microscope (TEM), a Fourier transform infrared spectrometer (FT-IR) and a vibrating sample magnetometer (VSM). The photocatalytic activity of the samples was determined by degrading model contaminated water, a phenol aqueous solution. The results were compared with single-phase titania (pure titania and Degussa P25) and Fe 3 O 4 /TiO 2 , and enhanced photocatalytic activity was obtained. It is suggested that the enhanced photocatalytic activity is ascribed to two major factors. First, the encapsulation of magnetite into the carbon layer may inhibit the direct electrical contact of titania and magnetite, hence preventing the photodissolution of the iron oxide phase. Second, the enhanced hydroxyl groups on TCCEF may inhibit the recombination of electron-hole pairs. On the other hand, the magnetic photocatalyst can be easily recovered from a slurry with the application of an external magnetic field.

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Rational approximation and smoothness of functions

Cited by 2 publications

References 4 publications

Rational approximation in Lp and Faber transforms

Rational approximation in Lp and Faber transforms

Tchebycheff Rational Approximation in the Disk, on the Circle, and on a Closed Interval

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