Geodesic
Approximation in weighted generalized grand Lebesgue spaces
Daniyal M. Israfilov 1   ; Ahmet Testici 2
1 Department of Mathematics Balikesir University Balikesir, Turkey and Institute of Mathematics and Mechanics of ANAS Baku, Azerbaijan
2 Department of Mathematics Balikesir University Balikesir Turkey
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 113-126 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of $2\pi $-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved. As a corollary some results on constructive characterization problems in generalized Lipschitz classes are presented.
DOI : 10.4064/cm6555-12-2015
Keywords: direct inverse problems approximation theory subspace weighted generalized grand lebesgue spaces periodic functions weights satisfying muckenhoupts condition investigated appropriate direct inverse theorems proved corollary results constructive characterization problems generalized lipschitz classes presented

Daniyal M. Israfilov  1   ; Ahmet Testici  2

1 Department of Mathematics Balikesir University Balikesir, Turkey and Institute of Mathematics and Mechanics of ANAS Baku, Azerbaijan
2 Department of Mathematics Balikesir University Balikesir Turkey 
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Daniyal M. Israfilov; Ahmet Testici. Approximation in weighted generalized grand Lebesgue spaces. Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 113-126. doi: 10.4064/cm6555-12-2015

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