# Moscow Mathematical Journal

Volume 24, Issue 1, January–March 2024 pp. 91–105.

Approximation by Trigonometric Polynomials in Weighted Morrey Spaces

**Authors**:
Ahmet Testici (1) and Daniyal M. Israfilov (2)

**Author institution:**(1) Balikesir University Department of Mathematics, 10145 Balikesir, Turkey

(2) Balikesir University Department of Mathematics, 10145 Balikesir, Turkey;

Institute of Mathematics and Mechanics, National Academy of Science of Azerbaijan, 9 Vahabzade St., Az.-1141 Baku, Azerbaijan

**Summary: **

In this work, some direct and inverse theorems of approximation theory in the weighted Morrey space are proved. The Lipschitz classes of functions in term of fractional modulus of smoothness are defined and their constructive characterizations are obtained.

2020 Math. Subj. Class. 26A33, 41A10, 41A25, 41A30.

**Keywords:**Weighted Morrey spaces, direct theorem, inverse theorem, fractional derivative, trigonometric approximation.

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