Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm

Opuscula Mathematica ◽

10.7494/opmath.2021.41.5.629 ◽

2021 ◽

Vol 41 (5) ◽

pp. 629-648

Author(s):

Fatiha Boulahia ◽

Slimane Hassaine

Keyword(s):

Orlicz Space ◽

Extreme Points ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

Orlicz Norm ◽

In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.

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On the uniform convexity of the Besicovitch–Orlicz space of almost periodic functions with Orlicz norm

Colloquium Mathematicum ◽

10.4064/cm102-1-9 ◽

2005 ◽

Vol 102 (1) ◽

pp. 97-111

Author(s):

Mohamed Morsli ◽

Fazia Bedouhene

Keyword(s):

Orlicz Space ◽

Almost Periodic Functions ◽

Uniform Convexity ◽

Almost Periodic ◽

Periodic Functions ◽

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On the k-convexity of the Besicovitch–Orlicz space of almost periodic functions with the Orlicz norm

Colloquium Mathematicum ◽

10.4064/cm109-1-9 ◽

2007 ◽

Vol 109 (1) ◽

pp. 107-118

Author(s):

Fazia Bedouhene ◽

Mohamed Morsli

Keyword(s):

Orlicz Space ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

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Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm

Commentationes Mathematicae Universitatis Carolinae ◽

10.14712/1213-7243.2021.007 ◽

2021 ◽

Vol 62 (1) ◽

pp. 67-79

Author(s):

Hassaine Slimane ◽

Boulahia Fatiha

Keyword(s):

Orlicz Space ◽

Extreme Points ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Luxemburg Norm ◽

Periodic Functions

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On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz nor

Revista Matemática Complutense ◽

10.5209/rev_rema.2003.v16.n2.16812 ◽

2003 ◽

Vol 16 (2) ◽

Author(s):

Mohamed Morsli ◽

Fazia Bedouhene

Keyword(s):

Orlicz Space ◽

Strict Convexity ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm

Commentationes Mathematicae ◽

10.14708/cm.v53i2.786 ◽

2013 ◽

Vol 53 (2) ◽

Author(s):

A. Daoui ◽

M. Morsli ◽

M. Smaali

Keyword(s):

Orlicz Spaces ◽

Strict Convexity ◽

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

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(VC)(n)-ALMOST PERIODIC FUNCTIONS

Demonstratio Mathematica ◽

10.1515/dema-1999-0215 ◽

1999 ◽

Vol 32 (2) ◽

Author(s):

Stanislaw Stoinski

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Compact Families of Almost Periodic Functions and an Application of the Schauder Fixed-Point Theorem

SIAM Journal on Applied Mathematics ◽

10.1137/0117117 ◽

1969 ◽

Vol 17 (6) ◽

pp. 1258-1262 ◽

Author(s):

A. M. Fink

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Point Theorem ◽

Almost Periodic Functions ◽

Schauder Fixed Point Theorem ◽

Almost Periodic ◽

Periodic Functions ◽

Schauder Fixed Point ◽

Schäuder Fixed Point Theorem

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Sampling almost-periodic functions with random probes of finite density

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.1996.0121 ◽

1996 ◽

Vol 452 (1953) ◽

pp. 2263-2277 ◽

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions ◽

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Equivalent almost periodic functions in terms of the new property of almost equality

Quaestiones Mathematicae ◽

10.2989/16073606.2021.2012291 ◽

2022 ◽

pp. 1-14

Author(s):

Juan Matías Sepulcre ◽

Tomás Vidal

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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Almost periodic functions

Mathematika ◽

10.1112/s0025579300000760 ◽

1955 ◽

Vol 2 (2) ◽

pp. 128-131 ◽

Author(s):

J. D. Weston

Keyword(s):

Almost Periodic Functions ◽

Almost Periodic ◽

Periodic Functions

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