# Approximation of functions belonging to the weighted L(a, M, omega)-class by trigonometric polynomials

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**New Zealand Journal of Mathematics**

**Vol.** 48, (2018), **Pages** 11-23

**Sadulla Z. Jafarov**

Department of Mathematics and Science Education,

Faculty of Education,

Mus Alparslan University,

49250, Mus,

Turkey.

mailto:s.jafarov@alparslan.edu.tr

**Abstract** In this work the approximation of the functions by means and of the
trigonometric Fourier series in weighted Orlicz spaces with Muckenhoupt
weights are studied.

**Keywords** Trigonometric approximation, Orlicz space, weighted Orlicz space,
Boyd indices, Muckenhoupt weight, weighted $L(\alpha ,M,\omega )$ class,
modulus of continuity.

**Classification** (MSC2000) 41A17, 41A25, 41A27, 42A10, 42A50, 46E30, 46E35, 26A33.

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