Fractional order mixed difference operator and its applications in angular approximation
- 6 October 2020
- journal article
- research article
- Published by Hacettepe University in Hacettepe Journal of Mathematics and Statistics
- Vol. 49 (5), 1594-1610
- https://doi.org/10.15672/hujms.569410
Abstract
Lebesgue spaces considered with Muckenhoupt weights. Fractional order mixed difference operator investigated to obtain mixed fractional modulus of smoothness in these spaces. Using this modulus of smoothness we give the proof of direct and inverse estimates of angular trigonometric approximation. Also we obtain an equivalence between fractional mixed modulus of smoothness and fractional mixed \textit{K}-functional.Keywords
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