Approximation by trigonometric polynomials in variable exponent Morrey spaces

We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space Mp ( · ) , λ ( · ) with variable exponents. For this space, we obtain estimates of the K-functional in terms of the modulus of smoothness and the Bernstein type inequality for trigonometric polynomials. © 2018, Springer International Publishing AG, part of Springer Nature.