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

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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	English
Pages (from-to)	240-264
Number of pages	25
Journal	Journal of Approximation Theory
Volume	101
Issue number	2
DOIs	https://doi.org/10.1006/jath.1999.3370
State	Published - Dec 1999

Scopus Subject Areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

Keywords

Counterexamples
Hardy spaces
Moduli of continuity
Rate of almost everywhere convergence

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AU - Stokolos, A. M.

AU - Trebels, W.

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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 - Counterexamples

KW - Hardy spaces

KW - Moduli of continuity

KW - Rate of almost everywhere convergence

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JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 2

ER -

On the rate of almost everywhere convergence of certain classical integral means, II

Abstract

Scopus Subject Areas

Keywords

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