On some properties of moduli of smoothness with Jacobi weights

K. A. Kopotun, D. Leviatan, I. A. Shevchuk

We discuss some properties of the moduli of smoothness with Jacobi weights that we have recently introduced and that are defined as \[ ω_{k,r}^φ(f^{(r)},t)_{α,β,p} :=\sup_{0\leq h\…