S. Jafarov, “Approximation by Nörlund type means in the grand Lebesgue spaces with variable exponent”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2024, Volume 34, Issue 1,Pages <nobr>19

MATHEMATICS

Approximation by Nörlund type means in the grand Lebesgue spaces with variable exponent

S. Jafarov^ab

^a Muş Alparslan University, Muş, 49250, Turkey
^b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, ul. B. Vahabzade, 9, Baku, Az-1141, Azerbaijan

Abstract: In the present paper the approximation of functions by Nörlund type means in the generalized grand Lebesgue spaces with variable exponent is studied.

Keywords: grand variable exponent Lebesgue spaces, modulus of smoothness, Lipschitz classes, trigonometric approximation, Nörlund means

UDC: 517.518.8

MSC: 40A05, 40A30, 41A10, 41A17, 42A10, 42A24

Received: 17.03.2023
Accepted: 30.10.2023

Language: English

DOI: 10.35634/vm240102