On the Moduli of Smoothness with Jacobi Weights
On the Moduli of Smoothness with Jacobi Weights is a scholarly work, published in 2018 in ''Ukrainian Mathematical Journal''. The main subjects of the publication include moduli space, mathematical analysis, pure mathematics, fractional Fourier transform, harmonic analysis, realization, modulus, smooth function, mathematics, modular equation, and Moduli of algebraic curves. The main purpose of this paper is to introduce moduli of smoothness with Jacobi weights $(1-x)^α(1+x)^β$ for functions in the Jacobi weighted $L_p-1,1$, $0.