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Bernstein-type operators, convexity and Lipschitz classes

Approximation Theory and its Applications, 1995
The authors study the monotonicity properties of the sequences of some Bernstein-type operators, relative to convex functions, as well as the preservation properties of Lipschitz classes for these operators. They start from a class of Bernstein-Schnabl type operators and give several illustrations for the operators of Bernstein, Stancu and Cheney ...
DELLA VECCHIA, Biancamaria, I. Rasa
openaire   +3 more sources

Rational approximation to Lipschitz and Zygmund classes

Constructive Approximation, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borwein, P. B., Zhou, S. P.
openaire   +2 more sources

Specific properties of Lipschitz class functions

Acta Mathematica Hungarica
The authors find two conditions on an orthonormal system (ONS) in \( L_2(0,1) \) which imply that for arbitrary \( f \in\) Lip 1 and for any \( \varepsilon\in (0,1) \) the series \[\sum_{k=1}^{\infty} C_k^2(f)k^{2(1-\varepsilon)}\] converges (here \( C_k(f) \) are the Fourier coefficients with respect to that ONS).
Kashibadze, A., Tsagareishvili, V.
openaire   +1 more source

Local and global Lipschitz classes

1987
Let h be a modulus of continuity, i.e. u is a concave positive and increasing function. If D is a domain in \({\mathbb{R}}^ n\), then a function \(u: D\to {\mathbb{R}}\) is said to belong to the local Lipschitz class loc Lip\({}_ h(D)\) if there is \(b\in (0,1)\) and M such that \(| u(x)- u(y)| \leq M h(| x-y|)\) for all \(x\in D\) and \(y\in D\) with \
openaire   +1 more source

A Bimonogenic Cauchy Transform on Higher Order Lipschitz Classes

Mediterranean Journal of Mathematics, 2019
L. De la Cruz Toranzo   +4 more
semanticscholar   +1 more source

LPV Scheme for Robust Adaptive Output Feedback Consensus of Lipschitz Multiagents Using Lipschitz Nonlinear Protocol

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021
Muhammad Rehan, Naeem Iqbal, Choon K Ahn
exaly  

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