Lipschitz functions

2012 ◽  
pp. 68-75
Author(s):  
Francesco Maggi
Keyword(s):  
Lipschitz Functions

On two simple decompositions of Lipschitz functions

Optimization ◽  
2008 ◽  
Vol 57 (2) ◽  
pp. 249-261 ◽  
Author(s):  
S. Zlobec
Keyword(s):  
Lipschitz Functions

Fourier-Bessel Dini Lipschitz functions in the space $$L_{\alpha ,n}^{2}$$ L α , n 2

2017 ◽  
Vol 28 (7-8) ◽  
pp. 1157-1165 ◽  
Author(s):  
S. El Ouadih ◽  
R. Daher
Keyword(s):  
Lipschitz Functions

scholarly journals Characterisation of upper gradients on the weighted Euclidean space and applications

2021 ◽  
Author(s):  
Danka Lučić ◽  
Enrico Pasqualetto ◽  
Tapio Rajala
Keyword(s):  
Euclidean Space ◽  
Sobolev Space ◽  
Radon Measure ◽  
Lipschitz Functions ◽  
Euclidean Spaces ◽  
Upper Gradient

AbstractIn the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.

The Dunkl generalization of Stancu type q-Szasz-Mirakjan-Kantorovich operators and some approximation results

2018 ◽  
Vol 34 (3) ◽  
pp. 363-370
Author(s):  
M. MURSALEEN ◽  
◽  
MOHD. AHASAN ◽  
Keyword(s):  
Rate Of Convergence ◽  
Modulus Of Continuity ◽  
Exponential Function ◽  
Second Order ◽  
Lipschitz Functions ◽  
Linear Operators ◽  
Positive Linear Operators ◽  
Approximation Properties ◽  
Kantorovich Operators ◽  
Korovkin’S Theorem

In this paper, a Dunkl type generalization of Stancu type q-Szasz-Mirakjan-Kantorovich positive linear operators ´ of the exponential function is introduced. With the help of well-known Korovkin’s theorem, some approximation properties and also the rate of convergence for these operators in terms of the classical and second-order modulus of continuity, Peetre’s K-functional and Lipschitz functions are investigated.

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