Results 141 to 150 of about 4,102,538 (267)

A note on Lipschitz classes [PDF]

open access: yesBulletin of the American Mathematical Society, 1935
openaire   +3 more sources

Homogeneous Observer‐Based Affine Formation Tracking

open access: yesInternational Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2692-2704, 25 March 2026.
ABSTRACT This article addresses the control of mobile agents, termed followers, to track a time‐varying affine formation specified by a set of leaders. We present a distributed hierarchical method composed of a homogeneous high‐order sliding mode observer and a tracking controller. The observer estimates the followers' target trajectories from neighbor
Rodrigo Aldana‐López   +3 more
wiley   +1 more source

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

Fourier Coefficients and Generalized Lipschitz Classes

open access: yes, 2008
In this paper we give some equivalence relations between behavior of Fourier coefficients of a special kind and smoothness of functions. A necessary and sufficient condition for existence of Schwartz derivative is also obtained.
openaire   +1 more source

Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes

open access: yesCanadian Journal of Mathematics - Journal Canadien de Mathematiques, 1977
P. Butzer   +3 more
semanticscholar   +1 more source

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