On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II

A. Kamaly; A. M. Stokolos; W. Trebels

doi:10.1006/jath.1999.3370

On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II

A. Kamaly, A. M. Stokolos, W. Trebels

Mathematical Sciences

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Abstract

In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory 98 , 203–222) we indicate at the example of the Gauss–Weierstrass and the Abel–Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of K. I. Oskolkov (1977, Math. USSR-Sb. 32 , 489–514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case.

Original language	American English
Journal	Journal of Approximation Theory
Volume	101
DOIs	https://doi.org/10.1006/jath.1999.3370
State	Published - Dec 1999

Disciplines

Mathematics

Keywords

Classical Integral Means
Convergence
Hardy Spaces

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title = "On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II",

abstract = " In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory 98 , 203–222) we indicate at the example of the Gauss–Weierstrass and the Abel–Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of K. I. Oskolkov (1977, Math. USSR-Sb. 32 , 489–514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case. ",

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T1 - On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II

AU - Kamaly, A.

AU - Stokolos, A. M.

AU - Trebels, W.

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Y1 - 1999/12

N2 - In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory 98 , 203–222) we indicate at the example of the Gauss–Weierstrass and the Abel–Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of K. I. Oskolkov (1977, Math. USSR-Sb. 32 , 489–514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case.

AB - In this sequel to previous work of A. Stokolos and W. Trebels (1999, J. Approx. Theory 98 , 203–222) we indicate at the example of the Gauss–Weierstrass and the Abel–Poisson means the sharpness of some results obtained there. This is achieved by modifying methods of K. I. Oskolkov (1977, Math. USSR-Sb. 32 , 489–514) and A. A. Soljanik (1986, Ph.D. Thesis, Odessa) developed for the periodic case.

KW - Classical Integral Means

KW - Convergence

KW - Hardy Spaces

UR - https://doi.org/10.1006/jath.1999.3370

U2 - 10.1006/jath.1999.3370

DO - 10.1006/jath.1999.3370

M3 - Article

SN - 0021-9045

VL - 101

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

ER -

On the Rate of Almost Everywhere Convergence of Certain Classical Integral Means, II

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