Z. Ditzian, Sergey Tikhonov
Abstract
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Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for $L_p(T)$ and $L_p[-1,1]$ for $0< p< \infty $ using the moduli of smoothness $\omega ^r(f,t)_p$ and $\omega ^r_\v
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Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for $L_p(T)$ and $L_p[-1,1]$ for $0< p< \infty $ using the moduli of smoothness $\omega ^r(f,t)_p$ and $\omega ^r_\v
Key concepts: Smoothness, Moduli, Mathematics, Omega, Pure mathematics, Function (biology), Mathematical analysis, Physics