Sendov, Blagovest; Popov, Vasil A. The averaged moduli of smoothness. Applications in numerical methods and approximation. Transl. ed. by G. M. Phillips. (English) Zbl 0653.65002 Wiley-Interscience Publications; Pure and Applied Mathematics. Chichester (UK) etc.: Wiley. x, 181 p. £24.95 (1988). See the review of the Russian original (1983; Zbl 0542.41018). Cited in 2 ReviewsCited in 43 Documents MSC: 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis 41-02 Research exposition (monographs, survey articles) pertaining to approximations and expansions 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable 65T40 Numerical methods for trigonometric approximation and interpolation 41A25 Rate of convergence, degree of approximation 41A55 Approximate quadratures 65Dxx Numerical approximation and computational geometry (primarily algorithms) 65R20 Numerical methods for integral equations 65L05 Numerical methods for initial value problems involving ordinary differential equations 65N15 Error bounds for boundary value problems involving PDEs Keywords:averaged moduli of smoothness; interpolation; numerical integration; summation operators; error estimates; one-sided approximations Citations:Zbl 0542.41018 PDFBibTeX XMLCite \textit{B. Sendov} and \textit{V. A. Popov}, The averaged moduli of smoothness. Applications in numerical methods and approximation. Transl. ed. by G. M. Phillips. Chichester (UK) etc.: Wiley (1988; Zbl 0653.65002)