Approximation in weighted generalized grand Lebesgue spaces

• Autorzy: Daniyal M. Israfilov , Ahmet Testici
• Języki publikacji: EN

Abstrakty

EN

The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of 2π-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.

Kategorie tematyczne

• 41A30: Approximation by other special function classes
• 42A10: Trigonometric approximation
• 41A10: Approximation by polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 1
• Strony: 113-126

Daty

wydano

2016

Twórcy

autor

Daniyal M. Israfilov

• Department of Mathematics, Balikesir University, Balikesir, Turkey
• Institute of Mathematics and Mechanics of ANAS, Baku, Azerbaijan

autor

Ahmet Testici

• Department of Mathematics, Balikesir University, Balikesir Turkey

Identyfikatory

DOI

10.4064/cm6555-12-2015