On some shift invariant integral operators, univariate case

DOI10.4064/AP-61-3-225-243zbMath0840.41016OpenAlexW4238395023MaRDI QIDQ4843512

George A. Anastassiou, Heinz H. Gonska

Publication date: 26 June 1996

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-61-3-225-243

zbMATH Keywords

modulus of continuityintegral operatorsconvolution type operatorssharp inequalitiesJackson type inequalitiesglobal smoothness preservationshift invariant operatorsprobabilistic distribution functionshape preserving operators

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximate quadratures (41A55) Iteration of real functions in one variable (26A18) Approximation by positive operators (41A36) Approximations and expansions (41A99)

Related Items (3)

Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators ⋮ Fuzzy approximation by fuzzy convolution type operators ⋮ Shift $\lambda $-Invariant Operators

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