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We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space $${{\mathcal {M}}}^{p(\cdot ),\lambda (\cdot )}$$Mp(·),λ(·) with variable exponents. For this space, we obtain estimates of the… Click to show full abstract
We investigate the direct and inverse theorems for trigonometric polynomials in the Morrey space $${{\mathcal {M}}}^{p(\cdot ),\lambda (\cdot )}$$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.
Keywords:
morrey spaces;
trigonometric polynomials;
polynomials variable;
variable exponent;
approximation trigonometric;
exponent morrey
Journal Title: Analysis and Mathematical Physics
Year Published: 2018
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Journal Title: Analysis and Mathematical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!