Zeev Ditzian, Professor of Mathematics
Publications: Research Articles 1980-1989

[47] Z. Ditzian, On interpolation of Lp[a,b] and weighted Sobolev spaces, Pacific J. Math. 90 (1980), 307-323.

[48] Z. Ditzian, Some remarks on approximation theorems on various Banach spaces, J. Math. Anal. and Appl. 77 (1980), 567-576.

[49] Z. Ditzian, Interpolation theorems and the rate of convergence of Bernstein polynomials, Approximation Theory III, Proc. of Conference in Honour of G.G. Lorentz, edited by E.W. Cheney, 1980, 341-347.

[50] Z. Ditzian, Lipschitz classes and convolution approximation processes, Math. Proc. Camb. Phil. Soc. 90 (1981), 51-61.

[51] Z. Ditzian, Discrete and shift Kolmogorov type inequalities, Proceedings of the Royal Society of Edinburgh 93 (1983), 307-317.

[52] Z. Ditzian, On inequalities of periodic functions and their derivatives, Proc. Amer. Math. Soc. 87 (1983), 463-466.

[53] Z. Ditzian, On Lipschitz classes and derivative inequalities in various Banach spaces, Functional Analysis, Holomorphy and Approximation Theory, ed. G. Zapata, North Holland, 1984, 57-67.

[54] Z. Ditzian, Saturation of approximation of N dimensional functions, Constructive Function Theory, Sofia, 1983,295-300.

[55] Z. Ditzian, Moduli of continuity in Rn and D (a subset of) Rn, Trans. Amer. Math. Soc. 282 (1984), 611-623.

[56] Z. Ditzian, Derivatives of Bernstein polynomials and smoothness, Proc. Amer. Math. Soc. 93(1) (1983), 25-31.

[57] Z. Ditzian, Derivatives of trigonometric polynomials approximation, Proceedings of Conference on Constructive Function Theory, Sofia Publishing House of the Bulgarian Academy of Science (1984), 284-290.

[58] Z. Ditzian, Polynomials of best approximation in C[-1,1], Israel J. Math.52 (1985), 342-354.

[59] Z. Ditzian, Rate of approximation of linear processes, Acta Math. Szeged48 (1985), 103-128.

[60] Z. Ditzian, Rate of convergence for Bernstein polynomials revisited, J. Approz Theory 50 (1987), 40-48.

[61] Z. Ditzian and V. Totik, K functionais and best polynomial approximation in weighted Lp(R), J. Approx. Theory 46 (1986), 38-41.

[62] Z. Ditzian, Moduli of smoothness using discrete data, J. Approx. Theory49 (1987), 115-129.

[63] Z. Ditzian, Inverse theorems for multidimensional Bernstein operators, Pacific J. Math. 121 (2) (1986), 293-319.

64] Z. Ditzian, On divided differences on C[a,b], Lp(a,b) and other spaces, Periodica Mathematica 17 (1986), 45-64.

[65] Z. Ditzian and V. Totik, K-functionals and moduli of smoothness with applications, Approximation Theory V, Academic Press, 1986, 327-330.

[66] Z. Ditzian, D.S. Lubinsky, P. Nevai and V. Totik, Polynomial approximation with exponential weights, Acta Math. Hungar. 50 (1987), 165-175.

[67] Z. Ditzian, On Marchaud type inequality, Proc. Amer. Math. Soc. 103 (1988), 198-202.

[68] Z. Ditzian, The modulus of smoothness and discrete data in a square domain, IMA J. Numer. Anal. 8 (1988), 311-319.

[69] Z. Ditzian and V. Totik, Remarks on Besov spaces and best polynomial approximation, Proc. Amer. Math. Soc. 104 (1988), 1059-1066.

[70} Z. Ditzian and K.G. Ivanov, Bernstein type operators and their derivatives, J. Approx. Theory 56 (1989), 72-90.

[71] Z. Ditzian, Determining smoothness by block data, Studia Sci. Math. Hung.24 (1989), 47-65.

[72] Z. Ditzian, Multivariate Landau-Kolmogorov-type inequality, Math. Proc. of Camb. Phil Soc. 105 (1989), 335-350.

[73] Z. Ditzian, The Laplacian and the discrete Laplacian, Compositio Mathematica69 (1989), 111-120.

[74] Z. Ditzian, A note on rational and spline approximation, J. Approx. Theory58 (1989), 361-362.

[75] Z. Ditzian, Best polynomial approximation and Bernstein polynomial approximation on a simplex, Indagationes Math. 92 (1989), 243-256.